- 期刊
REAL HYPERSURFACES OF INDEFINITE KAEHLER MANIFOLDS
摘要
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_(2S)^(2n+1) (1) or of the pseudohyperbolic space H_(2S-1)^(2n+1) (1). Finally, we get the causal character of (ϵ) cosymplectic real hypersurfaccs of indefinite complex space-forms.
延伸閱讀
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