Hopf hypersurfaces with constant principal curvatures in complex projective or complex hyperbolic spaces (Q5946898)
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scientific article; zbMATH DE number 1660518
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Hopf hypersurfaces with constant principal curvatures in complex projective or complex hyperbolic spaces |
scientific article; zbMATH DE number 1660518 |
Statements
Hopf hypersurfaces with constant principal curvatures in complex projective or complex hyperbolic spaces (English)
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31 July 2003
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A real hypersurface \(M\) of a complex space form is called a Hopf hypersurface if the characteristic vector field \(\xi=-JN\) on \(M\) is a principal curvature vector field. Some simple geometric characterizations of all Hopf hypersurfaces with constant principal curvatures in nonflat complex space forms are obtained.
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complex space forms
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hypersurfaces
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constant principal curvatures
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