Real hypersurfaces of indefinite Kaehler manifolds

A. Bejancu and K. L. Duggal

International Journal of Mathematics and Mathematical Sciences, 1993, vol. 16, 1-12

Abstract:

We show the existence of (  ϵ  )-almost contact metric structures and give examples of (  ϵ  )-Sasakian manifolds. Then we get a classification theorem for real hypersurfaces of indefinite complex space-forms with parallel structure vector field. We prove that (  ϵ  )-Sasakian real hypersurfaces of a semi-Euclidean space are either open sets of the pseudosphere S 2 S 2 n + 1 (1) or of the pseudohyperbolic space H 2 S − 1 2 n + 1 (1). Finally, we get the causal character of (  ϵ  ) cosymplectic real hypersurfaccs of indefinite complex space-forms.

Date: 1993
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:146792

DOI: 10.1155/S0161171293000675

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