Proceedings of the American Mathematical Society

Author(s): Maria Fernanda Elbert
Journal: Proc. Amer. Math. Soc. 128 (2000), 1443-1450.
MSC (2000): Primary 53C42; Secondary 53A10
Posted: February 7, 2000
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Abstract: We generalize Efimov's Theorem for graphs in Euclidean space using the scalar curvature, with an additional hypothesis on the second fundamental form.

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Retrieve articles in Proceedings of the American Mathematical Society with MSC (2000): 53C42, 53A10

Maria Fernanda Elbert
Affiliation: Instituto de Matematica, UFRJ, Cx. Postal 68530, 21941-590 Rio de Janeiro, RJ, Brasil
Address at time of publication: IMPA - Estrada Dona Castorina, 110, 22460-320 - Rio de Janeiro, RJ, Brasil
Email: elbert@impa.br

DOI: 10.1090/S0002-9939-00-05671-9
PII: S 0002-9939(00)05671-9
Keywords: Negative r-mean curvature, complete graphs, divergence, Cheeger constant
Received by editor(s): June 17, 1998
Posted: February 7, 2000
Communicated by: Christopher Croke
Copyright of article: Copyright 2000, American Mathematical Society

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