Bibliography for the Riemann Sphere and Stereographic Projection

unabridged

 

  1. Problems on Extremal Decomposition of the Riemann Sphere. II
    G. V. Kuz'mina
    Journal of Mathematical Sciences, August 2004, vol. 122, no. 6, pp. 3654-3666(13), Ingenta.
  2. Stereographic projections path integral for inertia ellipsoids: Applications to Arn-HF clusters
    Russo Jr., M.F.; Curotto, E.
    Journal of Chemical Physics, v 120, n 5, Feb 1, 2004, p 2110-2121, Compendex.  
  3. An analysis of plane failure of rock slopes by quantified stereographic projection
    Lim, S.S.; Yang, H.S.
    International Journal of Rock Mechanics and Mining Sciences, v 41, n SUPPL. 1, May, 2004, p 3A 05 1-6, Compendex.  
  4. Stereographic projections path integral in S1 and (S2)m manifolds
    Russo Jr., M.F.; Curotto, E.
    Journal of Chemical Physics, v 118, n 15, Apr 15, 2003, p 6806-6815, Compendex.  
  5. Stereographic projection of Study's quadric.
    Eberharter, J. K.; Pottmann, H.; Ravani, B.
    Dresden Symposium Geometry---Proceedings, 82--89, Tech. Univ. Dresden, Dresden, 2003, MathSciNet.  
  6. Conformally Invariant Functionals on the Riemann Sphere
    Emel'yanov E.G.
    Journal of Mathematical Sciences, November 2003, vol. 118, no. 1, pp. 4808-4821(14), Ingenta.
  7. Problems on Extremal Decomposition of the Riemann Sphere
    Kuz'mina G.V.
    Journal of Mathematical Sciences, November 2003, vol. 118, no. 1, pp. 4880-4894(15), Ingenta.
  8. On polar duality, Lagrange and Legendre singularities and stereographic projection to quadrics.
    Uribe-Vargas, Ricardo
    Proc. London Math. Soc. (3) 87 (2003), no. 3, 701--724, MathSciNet.  
  9. Treatment of multiple scattering with the generalized Riemann sphere track fit
    Strandlie, Are; Wroldsen, Joern; Fruhwirth, R.
    Nuclear Instruments and Methods in Physics Research, Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, v 488, n 1-2, Aug 1, 2002, p 332-341, Compendex.  
  10. Error analysis of the track fit on the Riemann sphere
    Strandlie, Are; Fruhwirth, R.
    Nuclear Instruments and Methods in Physics Research, Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, v 480, n 2-3, Mar 21, 2002, p 734-740, Compendex.  
  11. Conformality, the Exponential Function, and World Map Projections  PDF  
    Timothy G. Feeman
    The College Mathematics Journal, Vol. 32, No. 5, November 2001.  
  12. Meromorphic and Harmonic Functions Inducing Continuous Maps from MH into the Riemann Sphere
    Suarez D.
    Journal of Functional Analysis, 20 June 2001, vol. 183, no. 1, pp. 164-210(47), Ingenta.
  13. Subscribed Content Meromorphic and Harmonic Functions Inducing Continuous Maps from MHinfin into the Riemann Sphere
    Suárez D.
    Journal of Functional Analysis, June 2001, vol. 183, no. 1, pp. 164-210(47), Ingenta.
  14. Particle tracks fitted on the Riemann sphere
    Strandlie, A.; Wroldsen, J.; Fruhwirth, R.; Lillekjendlie, B.
    Computer Physics Communications, v 131, n 1, Sep, 2000, p 95-108, Compendex.  
  15. Moduli spaces of polygons and punctured Riemann spheres.
    Foth, Philip
    Canad. Math. Bull. 43 (2000), no. 2, 162--173, MathSciNet.  
  16. Pedagogy of stereographic projection
    Vogl D.; Rosenfeld B.; Breitbart W.; Thaler H.; Passik S.; McDonald M.; Portenoy R.K.; Blenkinsop T.
    Journal of African Earth Sciences, May 1999, vol. 28, no. 4, pp. 897-902(6), Ingenta.
  17. Coadjoint orbits of compact Lie groups and generalized stereographic projection. (Ukrainian)
    Skripnik, T. V.
    Ukraïn. Mat. Zh. 51 (1999), no. 12, 1714--1718; translation in Ukrainian Math. J. 51 (1999), no. 12, 1939--1944 (2000), MathSciNet.  
  18. Circular Arcs Fitted on a Riemann Sphere
    Lillekjendlie B.
    Computer Vision and Image Understanding, September 1997, vol. 67, no. 3, pp. 311-317(7), Ingenta.
  19. Stereographic projection of plane algebraic curves onto the sphere
    Welke, S.
    Proceedings of the International Mathematica Symposium, Innovations in Mathematics, 1997, p 491-498, Compendex.  
  20. Global Asymptotic Stabilization of a Spinning Top With Torque Actuators Using Stereographic Projection
    Wan C.J.; Tsiotras P.; Coppola V.T.; Bernstein D.S.
    Dynamics and Control, July 1997, vol. 7, no. 3, pp. 215-233(19), Ingenta.
  21. Realizations of the ideal boundary of a planar Riemann surface in the sphere
    Schmieder, Gerald; Shiba, Masakazu
    Nonlinear Analysis, Theory, Methods and Applications, v 30, n 8, December, 1997, p 5267-5274, Compendex.  
  22. Sternet - A Computer Program for Stereographic Projection: with a New Algorithm for Contouring
    Kutty, T. S.; Joy, S.
    Journal of the Geological Society of India, v 50, n 5, 1997, p 649, Compendex.  
  23. Stereographic projections and geometric singularities. Workshop on Real and Complex Singularities (São Carlos, 1996).
    Romero Fuster, M. C.
    Mat. Contemp. 12 (1997), 167--182, MathSciNet.  
  24. On the Generalized Stereographic Projection  PDF    
    Baki Karliga, Contributions to Algebra and Geometry, Vol. 37, (1996), No. 2, pp. 329-336.
  25. Quantum stereographic projection and the homographic oscillator
    Hakioglu, T.; Arik, M.
    Physical Review A. Atomic, Molecular, and Optical Physics, v 54, n 1, Jul, 1996, p 52-56, Compendex.  
  26. Kinematic Analysis of Active/Passive Wedge Failure Using Stereographic Projection
    Nathanail C.P.
    International Journal of Rock Mechanics and Mining Sciences and Geomechanics Abstracts, 5 June 1996, vol. 33, no. 4, pp. 405-407(3), Ingenta.
  27. On the existence of monodromy groups of Fuchsian systems on Riemann's sphere with unipotent generators
    Kostov, V.P.
    Journal of Dynamical and Control Systems, v 2, n 1, Jan, 1996, p 125-155, Compendex.  
  28. STEREOGRAMS - a program for calculating stereographic projections
    Weber, S.
    Journal of Applied Crystallography, v 29, n pt 3, Jun 1, 1996, p 306, Compendex.  
  29. History of the stereographic projection and its early use in geology
    Howarth, R. J.
    Terra Nova, v 8, n 6, 1996, p 499, Compendex.  
  30. Holomorphic vector bundles on the Riemann sphere and the 21st Hilbert problem.
    Bolibrukh, A.
    Algebra, 3. J. Math. Sci. 82 (1996), no. 6, 3759--3764, MathSciNet.  
  31. Conformal immersions of compact Riemann surfaces into the 2n-sphere n2).
    Hano, Jun-ichi
    Nagoya Math. J. 141 (1996), 79--105., MathSciNet.  
  32. Two corollaries of perspective in stereographic projection and their applications
    Li, Yao  
    Xiangtan Kuangye Xueyuan Xuebao/Journal of Xiangtan Mining Institute, v 11, n 2, Jun, 1996, p 73-77 Language: Chinese, Compendex.  
  33. Zur verallgemeinerten stereographischen Projektion. (German)
    [On generalized stereographic projection]
    Dietz, Roland; Geise, Gerhard; Jüttler, Bert
    Math. Pannon. 6 (1995), no. 2, 181--197, MathSciNet.  
  34. A relationship between Lagrange and Legendre singularities in stereographic projection. (Russian)
    Sedykh, V. D.
    Mat. Sb. 185 (1994), no. 12, 123--130; translation in Russian Acad. Sci. Sb. Math. 83 (1995), no. 2, 533--540, MathSciNet.  
  35. Global asymptotic stabilization of a spinning top with torque actuators using stereographic projection
    Wan, C.J.; Tsiotras, P.; Coppola, V.T.; Bernstein, D.S.
    Proceedings of the American Control Conference, v 1, 1994, p 536-540, Compendex.  
  36. On spaces of holomorphic maps from two copies of the Riemann sphere to complex Grassmannians.
    Havlicek, John W.
    Real algebraic geometry and topology (East Lansing, MI, 1993), 83--116, Contemp. Math., 182, Amer. Math. Soc., Providence, RI, 1995, MathSciNet.  
  37. Full holomorphic maps from the Riemann sphere to complex projective spaces.
    Crawford, T. Arleigh
    J. Differential Geom. 38 (1993), no. 1, 161--189, MathSciNet.  
  38. Using stereographic projection as a preprocessing technique for Upstart
    Saffery, James; Thornton, Chris
    Proceedings. IJCNN - International Joint Conference on Neural Networks, 1992, p 441-446, Compendex.  
  39. Seifert fibred homology 3-spheres and the Yang-Mills equations on Riemann surfaces with marked points.
    Furuta, Mikio; Steer, Brian
    Adv. Math. 96 (1992), no. 1, 38--102, MathSciNet.  
  40. Stereographic projection of bedding attitudes using microsoft excel
    Seeley, Timothy P.; Novak, Gray A.
    Computers & Geosciences, v 17, n 7, 1991, p 1051-1058, Compendex.  
  41. On Sullivan's conformal measures for rational maps of the Riemann sphere
    Denker M.; Urbanski M.
    Nonlinearity, 1991, vol. 4, no. 2, pp. 365-384(20), Ingenta.
  42. Contact Cauchy-Riemann submanifolds of odd-dimensional spheres.
    Capursi, M.; Dragomir, S.
    Glas. Mat. Ser. III 25(45) (1990), no. 1, 167--172, MathSciNet.  
  43. Imbedding Cauchy-Riemann manifolds into a sphere.
    Lempert, László
    Internat. J. Math. 1 (1990), no. 1, 91--108, MathSciNet.  
  44. Convexité sur la sphère de Riemann. (French)
    [Convexity on the Riemann sphere]
    Langevin, Michel
    C. R. Acad. Sci. Paris Sér. I Math. 310 (1990), no. 2, 37--40, MathSciNet.  
  45. Sphère de Riemann et géométrie des polynômes. (French)
    [Riemann sphere and geometry of polynomials]
    Langevin, Michel
    Cinquante ans de polynômes (Paris, 1988), 138--159, Lecture Notes in Math., 1415, Springer, Berlin, 1990, MathSciNet.  
  46. Stereographic projection method for synthesis of spherical four-bar mechanisms
    Jiang, Dingyuan  
    Xibei Gongye Daxue Xuebao/Journal of Northwestern Polytechnical University, v 8, n 4, Oct, 1990, p 408-415 Language: Chinese, Compendex.  
  47. Estimating robustness on the riemann sphere
    El-Sakkary, Ahmed K.  
    International Journal of Control, v 49, n 2, Feb, 1989, p 561-567, Compendex.  
  48. Stereographic projection of axisymmetric nonuniform lens media
    Cornbleet, S.  
    IEE Proceedings, Part H: Microwaves, Antennas and Propagation, v 136, n 6, Dec, 1989, p 499-501, Compendex.  
  49. Identification of key blocks for the surface excavations by using stereographic projection
    Rashad, M.A.
    Proceedings of the Second Large Open Pit Mining Conference, 1989, p 275, Compendex.  
  50. On complex dynamical systems on the Riemann sphere. (Japanese)
    Shishikura, Mitsuhiro
    Sugaku 41 (1989), no. 1, 34--48, MathSciNet.  
  51. Computer Program For Plotting Stereographic Projections.
    Prantl, Werner  
    Metallography, v 21, n 1, Feb, 1988, p 33-39, Compendex.  
  52. Use Of Computer Animation Techniques In The Teaching Of Stereographic Projection
    Ryan, Paul D.  
    Journal of Structural Geology, v 9, n 4, 1987, p 507-509, Compendex.  
  53. Construction of some curious diffeomorphisms of the Riemann sphere.
    Herman, Michael-R.
    J. London Math. Soc. (2) 34 (1986), no. 2, 375--384, MathSciNet.  
  54. Stereographic Projection Of Polarization Behavior Based On Coupled Equations From The Poincare Sphere To The Complex Plane.
    Kubo, Hayao; Nagata, Ryo
    Optik (Stuttgart), v 71, n 1, Aug, 1985, p 35-43, Compendex.  
  55. Complex analytic dynamics on the Riemann sphere
    Blanchard, Paul
    Bull. Amer. Math. Soc. (N.S.) 11 (1984), no. 1, 85--141, MathSciNet.  
  56. Computational Techniques For Stereographic Projection.
    Kosel, Thomas H.  
    Journal of Materials Science, v 19, n 12, Dec, 1984, p 4106-4118, Compendex.  
  57. Euler Construction In Stereographic Projection.
    Raghavan, K. S.  
    Transactions of the Indian Institute of Metals, v 37, n 4, Aug, 1984, p 397-398, Compendex.  
  58. Stereographic Projection In The National Airspace System.
    Mulholland, Robert G.; Stout, Darryl W.
    IEEE Transactions on Aerospace and Electronic Systems, v AES-18, n 1, Jan, 1982, p 48-57, Compendex.  
  59. The measure of maximal entropy of a rational endomorphism of a Riemann sphere. (Russian)
    Lyubich, M. Yu.
    Funktsional. Anal. i Prilozhen. 16 (1982), no. 4, 78--79, MathSciNet.  
  60. A hyperquintic in P 4, obtained by stereographic projection of a quadric on a plane. (Bulgarian)
    Apostolova, M. P.
    Godishnik Vissh. Uchebn. Zaved. Prilozhna Mat. 18 (1982), no. 3, 153--166 (1983), MathSciNet.  
  61. Use Of Stereographic Projection For Describing The Geometry Of Cutting Tools Em Dash 2.
    Gane, N.  
    International Journal of Machine Tool Design & Research, v 20, n 3-4, 1980, p 169-188, Compendex.  
  62. Use Of Stereographic Projection For Describing The Geometry Of Cutting Tools Em Dash 1.
    Gane, N.  
    International Journal of Machine Tool Design & Research, v 20, n 3-4, 1980, p 155-168, Compendex.  
  63. Plot Program For Laue Patterns And Stereographic Projections.
    Preuss, E.  
    Computer Physics Communications, v 18, n 2, Oct-Nov, 1979, p 261-275, Compendex.  
  64. Constructing a stereographic projection model
    Lovett D.R.; King G.D.
    Physics Education, 1978, vol. 13, no. 4, pp. 237-244(8), Ingenta.
  65. Stereographic projection in R5 and induced orthogonal and Lh-transformations. (Macedonian)
    Jotov, Ognjan
    Prirod.-Mat. Fak. Univ. Kiril Metodij Skopje Godi\v sen Zb. 29 (1978), 33--43, MathSciNet.  
  66. Stereographic Projections In Air Traffic Control Systems.
    Gingerich, E. D.
    Navigation, v 24, n 2, Summer, 1977, p 95-101, Compendex.  
  67. Celestial navigation with the stereographic projection
    Hutton D.R.
    Physics Education, 1977, vol. 12, no. 4, pp. 251-254(4), Ingenta.
  68. Assembling compact Riemann surfaces with given boundary curves and branch points on the sphere.
    Francis, George K.
    Illinois J. Math. 20 (1976), no. 2, 198--217, MathSciNet.  
  69. La réciproque du théorème d'annulation et de finitude de cohomologie dans l'espace produit d'une famille dénombrable de sphères de Riemann. (French)
    Kajiwara, Joji
    Bull. Soc. Math. France 103 (1975), no. 2, 129--139, MathSciNet.  
  70. The tangential Cauchy-Riemann complex on spheres.
    Folland, G. B.
    Trans. Amer. Math. Soc. 171 (1972), 83--133, MathSciNet.  
  71. On an application of the stereographic projection to CPm.
    Tachibana, Shun-ichi
    Kyungpook Math. J. 12 (1972), 183--197, MathSciNet.  
  72. On the Riemann sphere of a commutative
    Gigante, Giuliana
    Banach algebra. Boll. Un. Mat. Ital. (4) 4 (1971), 413--419, MathSciNet.  
  73. The Riemann sphere of a commutative Banach algebra.
    Glickfeld, Barnett W.
    Trans. Amer. Math. Soc. 134 1968 1--28, MathSciNet.  
  74. The Stereographic Projection in Vector Notation  
    C. F. Marcus  
    Mathematics Magazine, Vol. 39, No. 2 (Mar., 1966), pp. 100-102, Jstor.   
  75. Stereographic projection in the space of n complex variables and some of its applications. (Russian)
    Fuks, B. A.
    1960 Issledovaniya po sovremennym problemam teorii funkci\u\i kompleksnogo peremennogo pp. 294--300 Gosudarstv. Izdat. Fiz.-Mat. Lit., Moscow, MathSciNet.  
  76. Homogeneous sphere bundles and the isotropic Riemann manifolds.
    Nagano, Tadashi
    Nagoya Math. J 15 1959 29--55, MathSciNet.  
  77. Sur la classification des fibrés holomorphes sur la sphère de Riemann. (French)
    Grothendieck, A.
    Amer. J. Math. 79 (1957), 121--138, MathSciNet.  
  78. The Riemann sphere in matric spaces.
    Ramanathan, K. G.
    J. Indian Math. Soc. (N.S.) 19 (1955), 121--125 (1956), MathSciNet.  
  79. Stereographic projection and the linear fractional group of transformations of quaternions.
    Gormley, P. G.
    Proc. Roy. Irish Acad. Sect. A. 51, (1947). 67--85, MathSciNet.  
  80. Discussions: Note on Stereographic Projection  
    Theodore Bennett
    The American Mathematical Monthly, Vol. 35, No. 1 (Jan., 1928), pp. 24-27, Jstor.   
  81. Stereographic Projection of a Quadric  
    Charles A. Rupp  
    The American Mathematical Monthly, Vol. 35, No. 8 (Oct., 1928), pp. 415-421, Jstor.    

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

(c) John H. Mathews 2006