ISSN:
1572-9168
Schlagwort(e):
53C42
;
Hypersurfaces
;
hyperbolic space
;
Ricci curvature
Quelle:
Springer Online Journal Archives 1860-2000
Thema:
Mathematik
Notizen:
Abstract 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 to a point, it is a geodesic hypercylinder; if its soul is reduced to a point p, its curvature satisfies ∥▽Q∥〈∞, and the geodesic spheres centered at p are convex, then it is a horosphere.
Materialart:
Digitale Medien
URL:
http://dx.doi.org/10.1007/BF00155730
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