A Hopf theorem for non-constant mean curvature and a conjecture of A. D. Alexandrov-Reference-Cited by-同舟云学术

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A Hopf theorem for non-constant mean curvature and a conjecture of A. D. Alexandrov

Published:2015-12-31 Issue:3-4 Volume:366 Page:909-928
ISSN:0025-5831
Container-title:Mathematische Annalen
language:en
Short-container-title:Math. Ann.

Author:

Gálvez José A.,Mira Pablo

Funder

MICINN-FEDER

Junta de Andalucia

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Link

http://link.springer.com/content/pdf/10.1007/s00208-015-1351-4.pdf

Reference25 articles.

1. Abresch, U., Rosenberg, H.: A Hopf differential for constant mean curvature surfaces in $${\mathbb{S}}^2\times {\mathbb{R}}$$ S 2 × R and $${\mathbb{H}}^2\times {\mathbb{R}}$$ H 2 × R . Acta Math. 193, 141–174 (2004)

2. Abresch, U., Rosenberg, H.: Generalized Hopf differentials. Mat. Contemp. 28, 1–28 (2005)

3. Aiyama, R., Akutagawa, K.: Kenmotsu type representation formula for surfaces with prescribed mean curvature in hyperbolic $$3$$ 3 -space. J. Math. Soc. Jpn. 52, 877–898 (2000)

4. Aiyama, R., Akutagawa, K.: Kenmotsu type representation formula for surfaces with prescribed mean curvature in the $$3$$ 3 -sphere. Tohoku Math. J. 52, 95–105 (2000)

5. Alencar, H., do Carmo, M., Tribuzy, R.: A theorem of Hopf and the Cauchy–Riemann inequality. Commun. Anal. Geom. 15, 283–298 (2007)

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