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Lightlike real hypersurfaces of indefinite quaternionic Kaehler manifolds - MaRDI portal

Lightlike real hypersurfaces of indefinite quaternionic Kaehler manifolds (Q1860731)

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scientific article; zbMATH DE number 1874461
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Lightlike real hypersurfaces of indefinite quaternionic Kaehler manifolds
scientific article; zbMATH DE number 1874461

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    Lightlike real hypersurfaces of indefinite quaternionic Kaehler manifolds (English)
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    19 February 2004
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    The author uses some results from a work of \textit{K. L. Duggal} and \textit{A. Bejancu} [Acta Appl. Math. 31, 171-190 (1993; Zbl 0782.53108)] and studies a class of light-like hypersurfaces of an indefinite quaternionic Kähler manifold. In particular, it is proved that there exists no totally umbilical hightlike real hypersurface of indefinite quaternionic space forms with non-zero constant sectional curvature.
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    lightlike hypersurface
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    Kähler manifold
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    space form
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