Compact 2-transnormal hypersurface in a Kähler manifold of constant holomorphic sectional curvature (Q1081134)
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scientific article; zbMATH DE number 3969590
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Compact 2-transnormal hypersurface in a Kähler manifold of constant holomorphic sectional curvature |
scientific article; zbMATH DE number 3969590 |
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Compact 2-transnormal hypersurface in a Kähler manifold of constant holomorphic sectional curvature (English)
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1986
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A hypersurface M of a Riemannian manifold \(\bar M\) is called transnormal, if for each geodesic in \(\bar M\) the intersection with M is orthogonal at all points of intersection, if this property is satisfied at one of these points. The hypersurfaces mentioned in the title of this paper are shown to be geodesic hyperspheres, if the almost contact structure induced on M in this situation satisfies some very specific conditions.
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Kähler manifold
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transnormal manifolds
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geodesic hyperspheres
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almost contact structure
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0.8775442242622375
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0.8100566864013672
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