Bibliography for Riemann Surfaces

unabridged

 

  1. Geometric Compression Using Riemann Surface Structure
    Xianfeng Gu; Yalin Wang; Shing-Tung Yau  
    Communications in Information and Systems, Vol. 3, No. 3, (March 2004), pp. 171-182.
  2. Coupled connections on a compact Riemann surface
    Biswas I.
    Journal des Mathematiques Pures et Appliquees, January 2003, vol. 82, no. 1, pp. 1-42(42), Ingenta.  
  3. Weierstrass Multiplicative Points on a Compact Riemann Surface
    Chueshev V.V.; Yakubov E.K.
    Siberian Mathematical Journal, November 2002, vol. 43, no. 6, pp. 1141-1158(18), Ingenta.  
  4. Factorization on a Riemann Surface in Scattering Theory
    Antipov Y.A.; Silvestrov V.V.
    The Quarterly Journal of Mechanics and Applied Mathematics, November 2002, vol. 55, no. 4, pp. 607-654(48), Ingenta.  
  5. Hyperbolically Maximal Domains and Fundamental Domains for a Discontinuous Group of Conformal Automorphisms of a Riemann Surface
    Masumoto M.; Shiba M.
    The Quarterly Journal of Mathematics, September 2002, vol. 53, no. 3, pp. 337-346(10), Ingenta.  
  6. Periods of Harmonic Prym Differentials on a Compact Riemann Surface
    Chueshev V.V.
    Siberian Mathematical Journal, July 2002, vol. 43, no. 4, pp. 756-768(13), Ingenta.  
  7. Double coverings of Klein surfaces by a given Riemann surface
    Bujalance1 E.; Conder2 M.D.E.; Gamboa3 J.M.; Gromadzki4 G.; Izquierdo5 M.
    Journal of Pure and Applied Algebra, 24 April 2002, vol. 169, no. 2, pp. 137-151(15), Ingenta.  
  8. Differential operators and immersions of a Riemann surface into a Grassmannian
    Biswas I.
    Journal of Geometry and Physics, April 2002, vol. 41, no. 4, pp. 286-295(10), Ingenta.  
  9. A geometrical model for the double octahedral group based on a genus two Riemann surface
    King R. B.
    Molecular Physics, 20 January 2002, vol. 100, no. 2, pp. 297-302(6), Ingenta.  
  10. Crystallography and Riemann surfaces.  
    Elser, V.
    Discrete Comput. Geom.  25  (2001),  no. 3, 445--476, MathSciNet.  
  11. 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.  
  12. Projective structures on a Riemann surface, III
    Biswas I.; Raina A.K.
    Differential Geometry and its Applications, November 2001, vol. 15, no. 3, pp. 203-219(17), Ingenta.  
  13. The Sokhotskii Problem for the Carleman-Vekua Equation on a Riemann Surface
    Bikchantaev I.A.
    Differential Equations, January 2001, vol. 37, no. 1, pp. 38-41(4), Ingenta.  
  14. Caratheodory functions on a Riemann surface and associated reproducing kernel Hilbert spaces
    Alpay D.; Vinnikov V.
    Comptes Rendus de l'Academie des Sciences Series I Mathematics, September 2001, vol. 333, no. 6, pp. 523-528(6), Ingenta.  
  15. The hodge numbers of the moduli spaces of vector bundles over a Riemann surface
    Earl R.; Kirwan F.
    Quarterly Journal of Mathematics, December 2000, vol. 51, no. 4, pp. 465-483(19), Ingenta.  
  16. The concept of a noncommutative Riemann surface
    Bertoldi G.; Isidro J.M.; Matone M.; Pasti P.
    Physics Letters B, 6 July 2000, vol. 484, no. 3, pp. 323-332(10), Ingenta.  
  17. Invariants for a class of equivariant immersions of the universal cover of a compact Riemann surface into a projective space
    Biswas I.
    Journal des Mathematiques Pures et Appliquees, January 2000, vol. 79, no. 1, pp. 1-20(20), Ingenta.  
  18. Spaces of Riemann surfaces.  
    Krushkal, Samuel L.
    Lectures in memory of Lars Ahlfors (Haifa, 1996),  81--111, Israel Math. Conf. Proc., 14, Bar-Ilan Univ., Ramat Gan, 2000, MathSciNet.  
  19. Graphing elementary Riemann surfaces
    Robert M. Corless; David J. Jeffrey  
    ACM SIGSAM Bulletin, Volume 32, Issue 1 (March 1998), pp. 11-17.  
  20. Quaternionic algebra and sheaves on the Riemann sphere
    Quillen D.
    Quarterly Journal of Mathematics, June 1998, vol. 49, no. 194, pp. 163-198(36), Ingenta.  
  21. Geodesic Incompleteness in the CP^1 Model on a Compact Riemann Surface
    Sadun L.A.; Speight J.M.
    Letters in Mathematical Physics, March 1998, vol. 43, no. 4, pp. 329-334(6), Ingenta.  
  22. Integrating the chirally split diffeomorphism anomaly on a compact Riemann surface
    Lazzarini S.
    Physics Letters B, 17 September 1998, vol. 436, no. 1, pp. 73-83(11), Ingenta.  
  23. Sufficient conditions for a group of automorphisms of a Riemann surface to be its full automorphism group
    Turbek P.
    Journal of Pure and Applied Algebra, January 1998, vol. 123, no. 1, pp. 285-300(16), Ingenta.  
  24. On continuable Riemann surfaces.
    Jin, Naondo
    Kodai Math. J. 21 (1998), no. 3, 318--329, MathSciNet.  
  25. From Riemann surfaces to complex spaces.
    Remmert, Reinhold
    Matériaux pour l'histoire des mathématiques au XX siècle (Nice, 1996), 203--241, Sémin. Congr., 3, Soc. Math. France, Paris, 1998, MathSciNet.  
  26. Realizations of the ideal boundary of a planar Riemann surface in the sphere
    Schmieder G.; Shiba M.
    Nonlinear Analysis, December 1997, vol. 30, no. 8, pp. 5267-5274(8), Ingenta.  
  27. 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.  
  28. (X, psi) duality and enhanced dKdV on a Riemann surface
    Carroll R.
    Nuclear Physics B, 6 October 1997, vol. 502, no. 3, pp. 561-593, Ingenta.  
  29. The Mass-Damped Riemann Problem and the Aerodynamic Surface Force Calculation for an Accelerating Body
    Tan Z.; Wilson D.; Varghese P.L.
    Journal of Computational Physics, February 1997, vol. 131, no. 1, pp. 48-53(6), Ingenta.  
  30. Some relations between graph theory and Riemann surfaces.  
    Brooks, Robert
    Proceedings of the Ashkelon Workshop on Complex Function Theory (1996),  61--73, Israel Math. Conf. Proc., 11, Bar-Ilan Univ., Ramat Gan, 1997, MathSciNet.  
  31. On the Riemann Mapping Theorem  
    Shiing-Shen Chern; Shanyu Ji  
    The Annals of Mathematics, 2nd Ser., Vol. 144, No. 2. (Sep., 1996), pp. 421-439, Jstor.  
  32. The Braid Group of a Canonical Chern-Simons Theory on a Riemann Surface
    Bergeron M.; Semenoff G.
    Annals of Physics, January 1996, vol. 245, no. 0, pp. 1-22(22), Ingenta.  
  33. Bounded Geodesics of Riemann Surfaces and Hyperbolic Manifolds  
    J. L. Fernandez; M. V. Melian  
    Transactions of the American Mathematical Society, Vol. 347, No. 9. (Sep., 1995), pp. 3533-3549, Jstor.  
  34. Exact solution of the reaction-diffusion problem for a particle generating band on a surface by Riemann-Hilbert matching
    Brodsky A.M.; Reinhardt W.P.
    Journal of Physics A: Mathematical and General, 1995, vol. 28, no. 12, pp. 3453-3467(15), Ingenta.  
  35. Toric Structures on the Moduli Space of Flat Connections on a Riemann Surface: Volumes and the Moment Map
    Jeffrey L.C.; Weitsman J.
    Advances in Mathematics, July 1994, vol. 106, no. 2, pp. 151-168, Ingenta.  
  36. Horocycles on Riemann Surfaces  
    Mika Seppala; Tuomas Sorvali  
    Proceedings of the American Mathematical Society, Vol. 118, No. 1. (May, 1993), pp. 109-111, Jstor.  
  37. Prescribing Curvature with Negative Total Curvature on Open Riemann Surfaces  
    Junjie Tang  
    Proceedings of the American Mathematical Society, Vol. 116, No. 4. (Dec., 1992), pp. 1023-1030, Jstor.  
  38. Earthquakes on Riemann Surfaces and on Measured Geodesic Laminations  
    Francis Bonahon  
    Transactions of the American Mathematical Society, Vol. 330, No. 1. (Mar., 1992), pp. 69-95, Jstor.  
  39. Classical exchange algebra in Liouville theory on a Riemann surface
    Chen Y-X.; Gao H-B.
    Journal of Physics A: Mathematical and General, 1992, vol. 25, no. 1, pp. 123-133(11), Ingenta.  
  40. A Simple Proof of a Simple Version of the Riemann Mapping Theorem by Simple Functional Analysis (in Notes)  
    P. R. Garabedian  
    American Mathematical Monthly, Vol. 98, No. 9. (Nov., 1991), pp. 824-826, Jstor.  
  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. Hyperbolic curvature on Riemann surfaces.
    Minda, David
    Complex Variables Theory Appl. 12 (1989), no. 1-4, 1--8, MathSciNet.  
  43. The lengths of the closed geodesics on a Riemann surface with self-intersections.  
    Nakanishi, Toshihiro
    Tohoku Math. J. (2)  41  (1989),  no. 4, 527--541, MathSciNet.  
  44. Homology and Closed Geodesics in a Compact Riemann Surface  
    Atsushi Katsuda; Toshikazu Sunada  
    American Journal of Mathematics, Vol. 110, No. 1. (Feb., 1988), pp. 145-155, Jstor.  
  45. Quantized strings on Riemann surfaces and the string-field-theory vertex.
    Ohta, Nobuyoshi
    Phys. Rev. D (3) 38 (1988), no. 6, 1835--1846, MathSciNet.  
  46. On extensions of Riemann surfaces.
    Jussila, Tapani
    Ann. Acad. Sci. Fenn. Ser. A I Math. Dissertationes No. 67 (1988), 36 pp., MathSciNet.  
  47. Some Examples of Riemann's Surfaces  
    Blackum, Harry A.  
    J. of Undergraduate Math., (1987), Vol. 19, No. 1, pp. 1-13.
  48. The Moduli of Compact Continuations of an Open Riemann Surface of Genus One  
    M. Shiba  
    Transactions of the American Mathematical Society, Vol. 301, No. 1. (May, 1987), pp. 299-311, Jstor.  
  49. Closed Geodesics on a Riemann Surface With Application to the Markov Spectrum  
    A. F. Beardon; J. Lehner; M. Sheingorn  
    Transactions of the American Mathematical Society, Vol. 295, No. 2. (Jun., 1986), pp. 635-647, Jstor.  
  50. Conformal mappings of X-type of finitely bordered Riemann surfaces. (Turkish)
    Tayfur, Coskun
    Doga Bilim Dergisi. Ser. A1: Mat. Fiz. Kim. Astronom. 9 (1985), no. 3, 169--174, MathSciNet.  
  51. Complex analytic dynamics on the Riemann sphere.
    Blanchard, Paul  
    Bull. Amer. Math. Soc. (N.S.) 11 (1984), no. 1, 85--141, MathSciNet.  
  52. Simple Geodesics on Riemann Surfaces  
    Troels Jorgensen  
    Proceedings of the American Mathematical Society, Vol. 86, No. 1. (Sep., 1982), pp. 120-122, Jstor.  
  53. Riemann Surfaces and Bounded Holomorphic Functions  
    Walter Pranger  
    Transactions of the American Mathematical Society, Vol. 259, No. 2. (Jun., 1980), pp. 393-400, Jstor.  
  54. Closed Geodesics on Riemann Surfaces  
    Troels Jorgensen  
    Proceedings of the American Mathematical Society, Vol. 72, No. 1. (Oct., 1978), pp. 140-142, Jstor.  
  55. Bounded Sections on a Riemann Surface  
    Walter Pranger  
    Proceedings of the American Mathematical Society, Vol. 69, No. 1. (Apr., 1978), pp. 77-80, Jstor.  
  56. Conformal embeddings of Riemann surfaces.
    Earle, C.; Marden, A.
    J. Analyse Math. 34 (1978), 194--203 (1979), MathSciNet.  
  57. On the Diameters of Compact Riemann Surfaces
    Fwu-Ranq Chang
    Proceedings of the American Mathematical Society, Vol. 65, No. 2. (Aug., 1977), pp. 274-276, Jstor.  
  58. Univalent Functions and the Riemann Mapping Theorem  
    P. R. Garabedian  
    Proceedings of the American Mathematical Society, Vol. 61, No. 2. (Dec., 1976), pp. 242-244, Jstor.  
  59. Embedding Riemann surfaces in polydiscs.
    Stanton, Charles M.
    Duke Math. J. 43 (1976), no. 4, 791--796, MathSciNet.  
  60. Continuation of Riemann Surfaces  
    Richard Rochberg  
    Proceedings of the American Mathematical Society, Vol. 48, No. 1. (Mar., 1975), pp. 82-86, Jstor.  
  61. History of the Riemann Mapping Theorem  
    J. L. Walsh  
    American Mathematical Monthly, Vol. 80, No. 3. (Mar., 1973), pp. 270-276, Jstor.  
  62. A Riemann Mapping Theorem for C(X)  
    Hugh E. Warren  
    Proceedings of the American Mathematical Society, Vol. 28, No. 1. (Apr., 1971), pp. 147-154, Jstor.  
  63. Some Boundary Properties of the Riemann Mapping Function  
    Maynard G. Arsove  
    Proceedings of the American Mathematical Society, Vol. 19, No. 3. (Jun., 1968), pp. 560-568, Jstor.  
  64. The Uniformization of a Hyperbolic Riemann Surface  
    George Innis  
    Proceedings of the American Mathematical Society, Vol. 17, No. 3. (Jun., 1966), pp. 567-571, Jstor.  
  65. On modifications of Riemann surfaces.
    Renggli, H.
    Ark. Mat. 6 1966 299--306 (1966), MathSciNet.  
  66. A Class of Riemann Surfaces  
    Thomas A. Atchison  
    Proceedings of the American Mathematical Society, Vol. 16, No. 4. (Aug., 1965), pp. 731-738, Jstor.  
  67. Meromorphic Functions on Certain Riemann Surfaces  
    Mitsuru Ozawa  
    Proceedings of the American Mathematical Society, Vol. 16, No. 4. (Aug., 1965), pp. 747-752, Jstor.  
  68. On a Class of Riemann Surfaces  
    R. D. M. Accola  
    Proceedings of the American Mathematical Society, Vol. 15, No. 4. (Aug., 1964), pp. 607-611, Jstor.  
  69. Remarks on the Classification of Riemann Surfaces  
    K. V. Rajeswara Rao  
    Proceedings of the American Mathematical Society, Vol. 15, No. 4. (Aug., 1964), pp. 632-634, Jstor.  
  70. On a class of Riemann surfaces.
    Accola, R. D. M.
    Proc. Amer. Math. Soc. 15 1964 607--611, MathSciNet.  
  71. A remark to the construction of Riemann surfaces by welding.
    Oikawa, Kôtaro
    J. Sci. Hiroshima Univ. Ser. A-I Math. 27 1963 213--216, MathSciNet.  
  72. The solution of boundary-value problems on Riemann surfaces using the method of finite differences on a computer. (Russian)
    Merzljakova, G. D.; Keller, S. L.
    Perm. Gos. Univ. U\v cen. Zap. Mat. 1963 1963 no. 103, 188--192, MathSciNet.  
  73. Analytic Maps between Riemann Surfaces  
    Dale H. Husemoller  
    Proceedings of the American Mathematical Society, Vol. 13, No. 3. (Jun., 1962), pp. 412-416, Jstor.  
  74. Conformal Transformations of Riemann Surfaces  
    Leon Greenberg  
    American Journal of Mathematics, Vol. 82, No. 4. (Oct., 1960), pp. 749-760, Jstor.  
  75. Conformally invariant metrics on Riemann surfaces.  
    Gál, István S.
    Proc. Nat. Acad. Sci. U.S.A.  45  1959 1629--1633, MathSciNet.  
  76. Riemann Surfaces of Class A  
    Robert Osserman  
    Transactions of the American Mathematical Society, Vol. 82, No. 1. (May, 1956), pp. 217-245, Jstor.  
  77. The Conformal Rigidity of Certain Subdomains on a Riemann Surface  
    H. L. Royden  
    Transactions of the American Mathematical Society, Vol. 76, No. 1. (Jan., 1954), pp. 14-25, Jstor.  
  78. Studies in the conformal mapping of Riemann surfaces. I.
    Heins, Maurice
    Proc. Nat. Acad. Sci. U. S. A. 39, (1953). 322--324, MathSciNet.  
  79. On the Continuation of a Riemann Surface  
    Maurice H. Heins  
    The Annals of Mathematics, 2nd Ser., Vol. 43, No. 2. (Apr., 1942), pp. 280-297, Jstor.  
  80. A Note on Tetrahedral Riemann Surface Models (in Questions, Discussions, and Notes)  
    H. J. Barten  
    American Mathematical Monthly, Vol. 47, No. 4. (Apr., 1940), pp. 221-222, Jstor.  
  81. A Tetrahedral Riemann Surface Model of a Closed Finite Locally-Euclidean Two-Space  
    Michael Sadowsky  
    American Mathematical Monthly, Vol. 46, No. 4. (Apr., 1939), pp. 199-202, Jstor.  
  82. Discussions: Note on Stereographic Projection (in Questions and Discussions)  
    Theodore Bennett  
    American Mathematical Monthly, Vol. 35, No. 1. (Jan., 1928), pp. 24-27, Jstor.  
  83. Examples of the Construction of Riemann's Surfaces for the Inverse of Rational Functions, by the Method of Conformal Representation  
    Chas. L. Bouton; Maxime Bocher  
    The Annals of Mathematics, Vol. 12, No. 1/6. (1898 - 1899), pp. 1-26, Jstor.  

 

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