On complete graphs with negative r-mean curvature

Elbert, Maria

doi:10.1090/S0002-9939-00-05671-9

On complete graphs with negative r-mean curvature
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by Maria Fernanda Elbert

Proc. Amer. Math. Soc. 128 (2000), 1443-1450

DOI: https://doi.org/10.1090/S0002-9939-00-05671-9

Published electronically: 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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