Generalized chen submanifolds |
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| Authors: | Shi -Jie Li Chorng -Shi Houh |
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| Institution: | (1) Department of Mathematics, South China Normal University, Guangzhou, People's Republic of China;(2) Department of Mathematics, Wayne State University, 48202 Detroit, MI, USA |
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| Abstract: | As a generalization of Chen submanifolds,k-th Chen submanifolds are defined. A characterization for them is proved. Spherical 2nd Chen submanifolds are discussed. For a compact submanifoldM with parallel second fundamental form it is proved thatM is ak-th Chen submanifold if and only ifM is ofk-type.Dedicated to Prof. A. Barlotti for his 70- th birthdayThe first author was partially supported by the Provincial Scientific Research Fund from Guangdong Province, China. |
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