Bibliography for the Riemann Sphere and Stereographic Projection

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  1. 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.  
  2. 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.  
  3. 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.  
  4. Conformality, the Exponential Function, and World Map Projections  PDF  
    Timothy G. Feeman
    The College Mathematics Journal, Vol. 32, No. 5, November 2001.  
  5. 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.  
  6. 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.
  7. 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.
  8. On the Generalized Stereographic Projection  PDF    
    Baki Karliga, Contributions to Algebra and Geometry, Vol. 37, (1996), No. 2, pp. 329-336.
  9. STEREOGRAMS - a program for calculating stereographic projections
    Weber, S.
    Journal of Applied Crystallography, v 29, n pt 3, Jun 1, 1996, p 306, Compendex.  
  10. Zur verallgemeinerten stereographischen Projektion. (German)
    [On generalized stereographic projection]
    Dietz, Roland; Geise, Gerhard; Jüttler, Bert
    Math. Pannon. 6 (1995), no. 2, 181--197, MathSciNet.  
  11. 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.  
  12. 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.  
  13. 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.  
  14. 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.  
  15. Contact Cauchy-Riemann submanifolds of odd-dimensional spheres.
    Capursi, M.; Dragomir, S.
    Glas. Mat. Ser. III 25(45) (1990), no. 1, 167--172, MathSciNet.  
  16. Estimating robustness on the riemann sphere
    El-Sakkary, Ahmed K.  
    International Journal of Control, v 49, n 2, Feb, 1989, p 561-567, Compendex.  
  17. Computer Program For Plotting Stereographic Projections.
    Prantl, Werner  
    Metallography, v 21, n 1, Feb, 1988, p 33-39, Compendex.  
  18. 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.  
  19. Construction of some curious diffeomorphisms of the Riemann sphere.
    Herman, Michael-R.
    J. London Math. Soc. (2) 34 (1986), no. 2, 375--384, MathSciNet.  
  20. 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.  
  21. Complex analytic dynamics on the Riemann sphere
    Blanchard, Paul
    Bull. Amer. Math. Soc. (N.S.) 11 (1984), no. 1, 85--141, MathSciNet.  
  22. 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.  
  23. 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.  
  24. 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.  
  25. Plot Program For Laue Patterns And Stereographic Projections.
    Preuss, E.  
    Computer Physics Communications, v 18, n 2, Oct-Nov, 1979, p 261-275, Compendex.  
  26. Constructing a stereographic projection model
    Lovett D.R.; King G.D.
    Physics Education, 1978, vol. 13, no. 4, pp. 237-244(8), Ingenta.
  27. Stereographic Projections In Air Traffic Control Systems.
    Gingerich, E. D.
    Navigation, v 24, n 2, Summer, 1977, p 95-101, Compendex.  
  28. 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.  
  29. 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.  
  30. The tangential Cauchy-Riemann complex on spheres.
    Folland, G. B.
    Trans. Amer. Math. Soc. 171 (1972), 83--133, MathSciNet.  
  31. On the Riemann sphere of a commutative
    Gigante, Giuliana
    Banach algebra. Boll. Un. Mat. Ital. (4) 4 (1971), 413--419, MathSciNet.  
  32. The Riemann sphere of a commutative Banach algebra.
    Glickfeld, Barnett W.
    Trans. Amer. Math. Soc. 134 1968 1--28, MathSciNet.  
  33. The Stereographic Projection in Vector Notation  
    C. F. Marcus  
    Mathematics Magazine, Vol. 39, No. 2 (Mar., 1966), pp. 100-102, Jstor.   
  34. 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.  
  35. Homogeneous sphere bundles and the isotropic Riemann manifolds.
    Nagano, Tadashi
    Nagoya Math. J 15 1959 29--55, MathSciNet.  
  36. The Riemann sphere in matric spaces.
    Ramanathan, K. G.
    J. Indian Math. Soc. (N.S.) 19 (1955), 121--125 (1956), MathSciNet.  
  37. 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.  
  38. Discussions: Note on Stereographic Projection  
    Theodore Bennett
    The American Mathematical Monthly, Vol. 35, No. 1 (Jan., 1928), pp. 24-27, Jstor.   
  39. 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