Contact co-isotropic CR submanifolds of a pseudo-Sasakian manifold
It is proved that any co-isotropic submanifold M of a pseudo-Sasakian manifold M˜(U,ξ,η˜,g˜) is a CR submanifold (such submanfolds are called CICR submanifolds) with involutive vertical distribution ν1. The leaves M1 of D1 are isotropic and M is ν1-totally geodesic. If M is foliate, then M is almost...
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Hindawi Limited
1984-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
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| Online Access: | http://dx.doi.org/10.1155/S0161171284000363 |
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doaj-9f00788b162b48bab10bf2548643fef32020-11-24T23:29:28ZengHindawi LimitedInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251984-01-017233935010.1155/S0161171284000363Contact co-isotropic CR submanifolds of a pseudo-Sasakian manifoldVladislav V. Goldberg0Radu Rosca1Department of Mathematics, N.J. Institute of Technology, 323 M.L. King Jr. Boulevard Newark, 07102, N.J., USADepartment of Mathematics, N.J. Institute of Technology, 323 M.L. King Jr. Boulevard Newark, 07102, N.J., USAIt is proved that any co-isotropic submanifold M of a pseudo-Sasakian manifold M˜(U,ξ,η˜,g˜) is a CR submanifold (such submanfolds are called CICR submanifolds) with involutive vertical distribution ν1. The leaves M1 of D1 are isotropic and M is ν1-totally geodesic. If M is foliate, then M is almost minimal. If M is Ricci D1-exterior recurrent, then M receives two contact Lagrangian foliations. The necessary and sufficient conditions for M to be totally minimal is that M be contact D1-exterior recurrent.http://dx.doi.org/10.1155/S0161171284000363CR submanifoldCICR submanifoldpseudo-Sasakian manifoldpara f-structuretransversal quadratic vectorial formmixed isotropic manifoldindex of relative nullitycontact Lagrangian distributionalmost mean curvature vector fieldRicci D1-exterior recurrent submanifoldtotally minimal submanifoldcontact D1-exterior recurrent submanifold. |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Vladislav V. Goldberg Radu Rosca |
| spellingShingle |
Vladislav V. Goldberg Radu Rosca Contact co-isotropic CR submanifolds of a pseudo-Sasakian manifold International Journal of Mathematics and Mathematical Sciences CR submanifold CICR submanifold pseudo-Sasakian manifold para f-structure transversal quadratic vectorial form mixed isotropic manifold index of relative nullity contact Lagrangian distribution almost mean curvature vector field Ricci D1-exterior recurrent submanifold totally minimal submanifold contact D1-exterior recurrent submanifold. |
| author_facet |
Vladislav V. Goldberg Radu Rosca |
| author_sort |
Vladislav V. Goldberg |
| title |
Contact co-isotropic CR submanifolds of a pseudo-Sasakian manifold |
| title_short |
Contact co-isotropic CR submanifolds of a pseudo-Sasakian manifold |
| title_full |
Contact co-isotropic CR submanifolds of a pseudo-Sasakian manifold |
| title_fullStr |
Contact co-isotropic CR submanifolds of a pseudo-Sasakian manifold |
| title_full_unstemmed |
Contact co-isotropic CR submanifolds of a pseudo-Sasakian manifold |
| title_sort |
contact co-isotropic cr submanifolds of a pseudo-sasakian manifold |
| publisher |
Hindawi Limited |
| series |
International Journal of Mathematics and Mathematical Sciences |
| issn |
0161-1712 1687-0425 |
| publishDate |
1984-01-01 |
| description |
It is proved that any co-isotropic submanifold M of a pseudo-Sasakian manifold M˜(U,ξ,η˜,g˜) is a CR submanifold (such submanfolds are called CICR submanifolds) with involutive vertical distribution ν1. The leaves M1 of D1 are isotropic and M is ν1-totally geodesic. If M is foliate, then M is almost minimal. If M is Ricci D1-exterior recurrent, then M receives two contact Lagrangian foliations. The necessary and sufficient conditions for M to be totally minimal is that M be contact D1-exterior recurrent. |
| topic |
CR submanifold CICR submanifold pseudo-Sasakian manifold para f-structure transversal quadratic vectorial form mixed isotropic manifold index of relative nullity contact Lagrangian distribution almost mean curvature vector field Ricci D1-exterior recurrent submanifold totally minimal submanifold contact D1-exterior recurrent submanifold. |
| url |
http://dx.doi.org/10.1155/S0161171284000363 |
| work_keys_str_mv |
AT vladislavvgoldberg contactcoisotropiccrsubmanifoldsofapseudosasakianmanifold AT radurosca contactcoisotropiccrsubmanifoldsofapseudosasakianmanifold |
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1725545386625466368 |