Lightlike real hypersurfaces of indefinite quaternion Kaehler manifolds (Q1396039)
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scientific article; zbMATH DE number 1941626
| Language | Label | Description | Also known as |
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| English | Lightlike real hypersurfaces of indefinite quaternion Kaehler manifolds |
scientific article; zbMATH DE number 1941626 |
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Lightlike real hypersurfaces of indefinite quaternion Kaehler manifolds (English)
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7 October 2003
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This paper deals with hypersurfaces of a quaternion Kähler manifold. As they are dealing with indefinite metrics, the question about the existence and properties of real light-like hypersurfaces \(M\) is especially interesting. Let me mention two of their results: In Theorem 3.4. they state a relation under which circumstances such hypersurfaces \(M\) are totally geodesic. In Corollary 4.5. they present a relation of the sectional curvature of such hypersurfaces \(M\): there are restrictions on its sign.
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hypersurfaces
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quaternion Kähler manifold
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indefinite metrics
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light-like hypersurfaces
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totally geodesic
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sectional curvature
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