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

Vladislav V. Goldberg and Radu Rosca

International Journal of Mathematics and Mathematical Sciences, 1984, vol. 7, 1-12

Abstract:

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 ν 1 . The leaves M 1 of D 1 are isotropic and M is ν 1 -totally geodesic. If M is foliate, then M is almost minimal. If M is Ricci D 1 -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 D 1 -exterior recurrent.

Date: 1984
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:541462

DOI: 10.1155/S0161171284000363

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