A sphere theorem for submanifolds in a manifold with pinched positive curvature |
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Authors: | Chang-Yu Xia |
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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 |
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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 |
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Keywords: | 53C20 53C42 |
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