Real hypersurfaces of indefinite Kaehler manifolds
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...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
1993-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171293000675 |
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| Summary: | 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. |
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| ISSN: | 0161-1712 1687-0425 |