Shape operator of slant submanifolds in Kenmotsu space forms (Q816608)
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scientific article; zbMATH DE number 5010567
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Shape operator of slant submanifolds in Kenmotsu space forms |
scientific article; zbMATH DE number 5010567 |
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Shape operator of slant submanifolds in Kenmotsu space forms (English)
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9 March 2006
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In submanifold theory for real space forms, \textit{B.-Y. Chen} gave relations between curvature and shape operator [Glasg. Math. J. 38, No. 1, 87--97 (1996; Zbl 0866.53038)]. The authors establish similar relations between the sectional curvature and the shape operator and also between \(k\)-Ricci curvature and the shape operator for slant submanifolds in Kenmotsu space forms.
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shape operator
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curvature
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