Convex functions on Alexandrov surfaces-Reference-Cited by-同舟云学术

Convex functions on Alexandrov surfaces

Published:1999-02-05 Issue:9 Volume:351 Page:3549-3567
ISSN:0002-9947
Container-title:Transactions of the American Mathematical Society
language:en
Short-container-title:Trans. Amer. Math. Soc.

Author:

Mashiko Yukihiro

Abstract

We investigate the topological structure of Alexandrov surfaces of curvature bounded below which possess convex functions. We do not assume the continuities of these functions. Nevertheless, if the convex functions satisfy a condition of local nonconstancy, then the topological structures of Alexandrov surfaces and the level sets configurations of these functions in question are determined.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/tran/1999-351-09/S0002-9947-99-02193-5/S0002-9947-99-02193-5.pdf

Reference14 articles.

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4. Steinitz field towers for modular fields;MacLane, Saunders;Trans. Amer. Math. Soc.,1939

5. On the structure of complete manifolds of nonnegative curvature;Cheeger, Jeff;Ann. of Math. (2),1972

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