Compact hypersurfaces of a Sasakian manifold (Q2739063)
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scientific article; zbMATH DE number 1643407
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Compact hypersurfaces of a Sasakian manifold |
scientific article; zbMATH DE number 1643407 |
Statements
2 May 2002
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Sasakian manifold
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Sasakian space form
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totally umbilic manifold
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compact hypersurface
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Compact hypersurfaces of a Sasakian manifold (English)
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The author studies some compact oriented hypersurfaces in Sasakian manifolds and Sasakian space forms. Some integral formulas for such hypersurfaces are obtained. In terms of these, some geometric properties of such hypersurfaces are given. These results can be viewed as a generalization of the Riemannian case [cf. \textit{K. Yano}, ``Integral formulas in Riemannian geometry'', New York, Marcel Dekker (1970; Zbl 0213.23801)].
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