Two theorems on (ϵ)-Sasakian manifolds
In this paper, We prove that every (ϵ)-sasakian manifold is a hypersurface of an indefinite kaehlerian manifold, and give a necessary and sufficient condition for a Riemannian manifold to be an (ϵ)-sasakian manifold.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
1998-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171298000350 |
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| _version_ | 1832561758310498304 |
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| author | Xu Xufeng Chao Xiaoli |
| author_facet | Xu Xufeng Chao Xiaoli |
| author_sort | Xu Xufeng |
| collection | DOAJ |
| description | In this paper, We prove that every (ϵ)-sasakian manifold is a hypersurface of
an indefinite kaehlerian manifold, and give a necessary and sufficient condition for a Riemannian
manifold to be an (ϵ)-sasakian manifold. |
| format | Article |
| id | doaj-art-33751e2c16da40a2bc7eb795a3659a48 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1998-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-33751e2c16da40a2bc7eb795a3659a482025-02-03T01:24:14ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251998-01-0121224925410.1155/S0161171298000350Two theorems on (ϵ)-Sasakian manifoldsXu Xufeng0Chao Xiaoli1Department of Mathematics, Xuzhou Normal University, Xuzhou 221009, ChinaDepartment of Mathematics, Hangzhou University, Hangzhou 310028, ChinaIn this paper, We prove that every (ϵ)-sasakian manifold is a hypersurface of an indefinite kaehlerian manifold, and give a necessary and sufficient condition for a Riemannian manifold to be an (ϵ)-sasakian manifold.http://dx.doi.org/10.1155/S0161171298000350(ϵ)-sasakian manifolds; real hypersurface; indefinite kaehlerian manifolds; (ϵ)-almost contact structure. |
| spellingShingle | Xu Xufeng Chao Xiaoli Two theorems on (ϵ)-Sasakian manifolds International Journal of Mathematics and Mathematical Sciences (ϵ)-sasakian manifolds; real hypersurface; indefinite kaehlerian manifolds; (ϵ)-almost contact structure. |
| title | Two theorems on
(ϵ)-Sasakian manifolds |
| title_full | Two theorems on
(ϵ)-Sasakian manifolds |
| title_fullStr | Two theorems on
(ϵ)-Sasakian manifolds |
| title_full_unstemmed | Two theorems on
(ϵ)-Sasakian manifolds |
| title_short | Two theorems on
(ϵ)-Sasakian manifolds |
| title_sort | two theorems on ϵ sasakian manifolds |
| topic | (ϵ)-sasakian manifolds; real hypersurface; indefinite kaehlerian manifolds; (ϵ)-almost contact structure. |
| url | http://dx.doi.org/10.1155/S0161171298000350 |
| work_keys_str_mv | AT xuxufeng twotheoremsonesasakianmanifolds AT chaoxiaoli twotheoremsonesasakianmanifolds |