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ArticleOriginal scientific text

Title

On the disc theorem

Authors 1

Affiliations

  1. Facultatea De Matematica, Universitatea Din Bucureşti, Str. Academiei 14, Bucureşti 1, Romania

Abstract

Ahlfors' disc theorem for Riemann covering surfaces is extended to normally exhaustible Klein coverings.

Bibliography

  1. L. Ahlfors, Zur Theorie der Überlagerungsflächen, Acta Math. 65 (1935), 157-194.
  2. L. V. Ahlfors and L. Sario, Riemann Surfaces, Princeton Univ. Press, Princeton. N.J., 1960.
  3. N. L. Alling and N. Greenleaf, Foundations of the Theory of Klein Surfaces, Lecture Notes in Math. 219, Springer, Berlin 1971.
  4. C. Andreian Cazacu, Teorema discurilor pentru suprafeţe riemanniene normal exhaustibile, Bul. Şt. Mat. Fiz. Acad. RPR 4 (1952), 263-272.
  5. C. Andreian Cazacu, Über die normal ausschöpfbaren Riemannschen Flächen, Math. Nachr. 15 (1956), 77-86.
  6. C. Andreian Cazacu, Suprafeţe riemanniene partial regulat exhaustibile, in: Lucrările Colocv. Geom. Top. Iaşi 1958, Ed. Acad. RPR, Bucureşti 1962, 219-226.
  7. C. Andreian Cazacu, Suprafeţe riemanniene parţial regulat exhaustibile, An. Univ. Bucureşti 34, 11 (1962), 125-154.
  8. C. Andreian Cazacu, Clase de acoperiri riemanniene I, II, ibid. 13 (1964), 55-75, 14 (1965), 71-95.
  9. C. Andreian Cazacu, Ramification of Klein coverings, Ann. Acad. Sci. Fenn. Ser. AI Math. 10 (1985), 47-56.
  10. R. Nevanlinna, Analytic Functions, Springer, Berlin 1970.
  11. S. Stoilow, Sur une classe de surfaces de Riemann régulièrement exhaustibles et sur le théorème des disques de M. Ahlfors, C. R. Acad. Sci. Paris 207 (1938), 517-519.
  12. S. Stoilow, Sur les surfaces de Riemann normalement exhaustibles et sur le théorème des disques pour ces surfaces, Compositio Math. 7 (1940), 428-435.
  13. S. Stoilow, Leçons sur les principes topologiques de la théorie des fonctions analytiques, II-ème éd., Gauthier-Villars, Paris 1956.
Annales Polonici Mathematici
1991/55/1
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Pages:
1-10
Main language of publication
English
Received
1990-09-05
Published
1991
Exact and natural sciences