Pseudo-Riemannian Manifolds Endowed With an Almost Para F-Structure

Document Type

Article

Publication Date

1-1-1985

Abstract

Let M̃(U,Ω̃,ñ,ξ,g̃) be a pseudo-Riemannian manifold of signature (n+1, n). One defines on M̃ an almost cosymplecticpara f-structure and provesthat a manifold M̃ endowed with such a structure is ξ-Ricci flat and is foliated by minimal hypersurfaces normal to ξ, which are of Otsuki’stype. Further oneconsiders on M̃ a 2(n−1)-dimensional involutive distribution P⊥and a recurrentvector field V. It is proved that the maximal integral manifold M⊥ of P⊥ has V as the mean curvature vector (up to l/2(n−l)). If the complimentary orthogonaldistribution P of P⊥ is also involutive, then the whole manifold M̃ is foliate Different other properties regarding the vector field Ṽ are discussed. © 1985, Hindawi Publishing Corporation. All rights reserved.

Identifier

61349162167 (Scopus)

Publication Title

International Journal of Mathematics and Mathematical Sciences

External Full Text Location

https://doi.org/10.1155/S016117128500028X

e-ISSN

16870425

ISSN

01611712

First Page

257

Last Page

266

Issue

2

Volume

8

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