On the existence of degenerate hypersurfaces in Sasakian manifolds (Q1296444)

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scientific article; zbMATH DE number 1319636
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On the existence of degenerate hypersurfaces in Sasakian manifolds
scientific article; zbMATH DE number 1319636

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    On the existence of degenerate hypersurfaces in Sasakian manifolds (English)
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    17 January 2002
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    In [Int. J. Math. Math. Sci. 16, 545-556 (1993; Zbl 0787.53048)] \textit{A. Bejancu} and \textit{K. L. Duggal} introduced indefinite Sasakian structures \((f,\xi,\eta,g)\) and constructed a special example of index \(s\) on \(\mathbb{R}^{2n+1}\). In the paper under review the author is concerned with hypersurfaces \(M\) of the latter space, which are tangent to the structure vector field \(\xi\). He shows: If \(s=n\) then \(M\) always is non-degenerate, but for \(s=1\) degenerate examples exist.
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    indefinite Sasakian structures
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    hypersurfaces
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    structure vector field
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