Contact Co-Isotropic Cr Submanifolds of a Pseudo-Sasakian Manifold

Document Type

Article

Publication Date

1-1-1984

Abstract

It is proved that any co-isotropic submanifold M of a pseudo-Sasakian manifold [formula omitted] is a CR submanifold (such submanifolds are called CICR submanifolds) with involutive vertical distribution D⊥. The leaves M⊥ of D⊥ are isotropic and M is D⊥-totally geodesic. If M is foliate, then M is almost minimal. If M is Ricci D⊥-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⊥-exterior recurrent. © 1984, Hindawi Publishing Corporation. All rights reserved.

Identifier

17844402549 (Scopus)

Publication Title

International Journal of Mathematics and Mathematical Sciences

External Full Text Location

https://doi.org/10.1155/S0161171284000363

e-ISSN

16870425

ISSN

01611712

First Page

339

Last Page

350

Issue

2

Volume

7

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