Contact co-isotropic CR submanifolds of a pseudo-Sasakian manifold

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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Bibliographic Details
Main Authors: Vladislav V. Goldberg, Radu Rosca
Format: Article
Language:English
Published: Wiley 1984-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Subjects:
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.
Online Access:http://dx.doi.org/10.1155/S0161171284000363
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http://dx.doi.org/10.1155/S0161171284000363

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