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A sphere theorem for submanifolds in a manifold with pinched positive curvature
Authors:Chang-Yu Xia
Affiliation:(1) Department of Mathematics, University of Science and Technology of China, 230026 Hefei, Anhui, P. R. China;(2) Present address: Departmento de Matemática IE, Universidade de Brasília, Campus Universitário, 70910-900 Brasília, DF, Brasil
Abstract:In this paper, we prove a sphere theorem for submanifolds in a Riemannian manifold with pinched positive curvature. This result generalizes a recent result of Leung.Supported by the Natural Science Foundation of China
Keywords:53C20  53C42
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