Real hypersurfaces of indefinite Kaehler manifolds

• Main Authors: A. Bejancu, K. L. Duggal
• Format: Article
• Language: English
• Published: Hindawi Limited 1993-01-01
• Series: International Journal of Mathematics and Mathematical Sciences
• Subjects: ( ϵ )-Sasakian manifolds; real hypersurfaces; indefinite complex space-forms; ( ϵ )-cosymplectic real hypersurfaces; globally hyperbolic space.
• Online Access: http://dx.doi.org/10.1155/S0161171293000675

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 S2S2n+1 (1) or of the pseudohyperbolic space H2S−12n+1(1). Finally, we get the causal character of ( ϵ ) cosymplectic real hypersurfaccs of indefinite complex space-forms.