Submanifolds with parallel mean curvature vector
نویسندگان
چکیده
منابع مشابه
Submanifolds with Parallel Mean Curvature Vector in Pinched Riemannian Manifolds
In this paper, we prove a generalized integral inequality for submanifolds with parallel mean curvature vector in an arbitrary Riemannian manifold, and from which we obtain a pinching theorem for compact oriented submanifolds with parallel mean curvature vector in a complete simply connected pinched Riemannian manifold, which generalizes the results obtained by Alencar-do Carmo and Hong-Wei Xu.
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ژورنال
عنوان ژورنال: Journal of Differential Geometry
سال: 1971
ISSN: 0022-040X
DOI: 10.4310/jdg/1214430219