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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| Format: | Article |
| Language: | English |
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Wiley
1993-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
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| Online Access: | http://dx.doi.org/10.1155/S0161171293000675 |
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| author | A. Bejancu K. L. Duggal |
| author_facet | A. Bejancu K. L. Duggal |
| author_sort | A. Bejancu |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-bc3bb4f274e8423fbb4ce76d1e4cdf76 |
| institution | OA Journals |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1993-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-bc3bb4f274e8423fbb4ce76d1e4cdf762025-08-20T02:18:42ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251993-01-0116354555610.1155/S0161171293000675Real hypersurfaces of indefinite Kaehler manifoldsA. Bejancu0K. L. Duggal1Department of Mathematics, Polytechnic Institute of Iasi, C.P.17, Iasi 1, Iasi 6600, RomaniaDepartment of Mathematics, Polytechnic Institute of Iasi, C.P.17, Iasi 1, Iasi 6600, RomaniaWe 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.http://dx.doi.org/10.1155/S0161171293000675( ϵ )-Sasakian manifoldsreal hypersurfacesindefinite complex space-forms ( ϵ )-cosymplectic real hypersurfacesglobally hyperbolic space. |
| spellingShingle | A. Bejancu K. L. Duggal Real hypersurfaces of indefinite Kaehler manifolds International Journal of Mathematics and Mathematical Sciences ( ϵ )-Sasakian manifolds real hypersurfaces indefinite complex space-forms ( ϵ )-cosymplectic real hypersurfaces globally hyperbolic space. |
| title | Real hypersurfaces of indefinite Kaehler manifolds |
| title_full | Real hypersurfaces of indefinite Kaehler manifolds |
| title_fullStr | Real hypersurfaces of indefinite Kaehler manifolds |
| title_full_unstemmed | Real hypersurfaces of indefinite Kaehler manifolds |
| title_short | Real hypersurfaces of indefinite Kaehler manifolds |
| title_sort | real hypersurfaces of indefinite kaehler manifolds |
| topic | ( ϵ )-Sasakian manifolds real hypersurfaces indefinite complex space-forms ( ϵ )-cosymplectic real hypersurfaces globally hyperbolic space. |
| url | http://dx.doi.org/10.1155/S0161171293000675 |
| work_keys_str_mv | AT abejancu realhypersurfacesofindefinitekaehlermanifolds AT klduggal realhypersurfacesofindefinitekaehlermanifolds |