On a conjectured characterization of the sphere-Reference-Cited by-同舟云学术

On a conjectured characterization of the sphere

Published:1973-09 Issue:3 Volume:205 Page:211-217
ISSN:0025-5831
Container-title:Mathematische Annalen
language:en
Short-container-title:Math. Ann.

Author:

Koutroufiotis Dimitri

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Link

http://link.springer.com/article/10.1007/BF01349231/fulltext.html

Reference9 articles.

1. Alexandroff, A. D.: Les theorèmes d'unicité pour les surfaces fermées. Comptes Rendus (Doklady) de l'Académie des Sciences de l'URSS, vol. XXII, no. 3, 99?102 (1939).

2. Bianchi, L.: Vorlesungen über Differentialgeometrie. Teubner-Verlag 1910.

3. Chern, S. S.: Some new characterizations of the euclidean sphere. Duke Math. J.12, 279?290 (1945).

4. Hartman, P., Nirenberg, L.: On spherical image maps whose Jacobians do not change sign. Amer. J. Math.81, 901?920 (1959).

5. Hopf, E.: On Bernstein's theorem on surfacesz(x, y) of nonpositive curvature. Proc. Amer. Math. Soc.1, 80?85 (1950).

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