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Radial Graphs with Constant Mean Curvature in the Hyperbolic Space

✍ Scribed by Jorge Herbert S. De Lira

Book ID: 110394357
Publisher: Springer
Year: 2002
Tongue: English
Weight: 143 KB
Volume: 93
Category: Article
ISSN: 0046-5755
DOI: 10.1023/a:1020302128556

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In this article, we prove the following theorem: A complete hypersurface of the hyperbolic space form, which has constant mean curvature and non-negative Ricci curvature Q, has non-negative sectional curvature. Moreover, if it is compact, it is a geodesic distance sphere; if its soul is not reduced