Real hypersurfaces of non-flat complex space forms with generalized \(\xi\)-parallel Jacobi structure operator (Q2816787)
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scientific article; zbMATH DE number 6619353
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Real hypersurfaces of non-flat complex space forms with generalized \(\xi\)-parallel Jacobi structure operator |
scientific article; zbMATH DE number 6619353 |
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25 August 2016
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complex space form
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hypersurface
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0.9659884
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0.9618432
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0.9612411
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0.95888776
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0.94698995
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0.94678867
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0.94554025
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Real hypersurfaces of non-flat complex space forms with generalized \(\xi\)-parallel Jacobi structure operator (English)
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Let \(M_n(c)\) be a complex space form with \(n>2\), \(c\neq0\). The author studies real hypersurfaces of \(M_n(c)\) for which the Jacobi operator \(l=R(\cdot,\xi)\xi\) commutes with the shape operator \(A\) on vectors perpendicular to \(\xi\). And he also assumes a certain additional assumption (see Eq. (1.2)) which, unfortunately, does not have a tensor character.
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