![](/images/graphics-bg.png)
Indefinite Almost Paracontact Metric Manifolds
Joint Authors
Kılıç, Erol
Yüksel Perktaş, Selcen
Keleş, Sadık
Tripathi, Mukut Mani
Source
International Journal of Mathematics and Mathematical Sciences
Issue
Vol. 2010, Issue 2010 (31 Dec. 2010), pp.1-19, 19 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2010-04-01
Country of Publication
Egypt
No. of Pages
19
Main Subjects
Abstract EN
We introduce the concept of (ε)-almost paracontact manifolds, and in particular, of (ε)-para-Sasakian manifolds.
Several examples are presented.
Some typical identities for curvature tensor and Ricci tensor of (ε)-para Sasakian manifolds are obtained.
We prove that if a semi-Riemannian manifold is one of flat, proper recurrent or proper Ricci-recurrent, then it cannot admit an (ε)-para Sasakian structure.
We show that, for an (ε)-para Sasakian manifold, the conditions of being symmetric, semi-symmetric, or of constant sectional curvature are all identical.
It is shown that a symmetric spacelike (resp., timelike) (ε)-para Sasakian manifold Mn is locally isometric to a pseudohyperbolic space Hνn(1) (resp., pseudosphere Sνn(1)).
At last, it is proved that for an (ε)-para Sasakian manifold the conditions of being Ricci-semi-symmetric, Ricci-symmetric, and Einstein are all identical.
American Psychological Association (APA)
Tripathi, Mukut Mani& Kılıç, Erol& Yüksel Perktaş, Selcen& Keleş, Sadık. 2010. Indefinite Almost Paracontact Metric Manifolds. International Journal of Mathematics and Mathematical Sciences،Vol. 2010, no. 2010, pp.1-19.
https://search.emarefa.net/detail/BIM-502872
Modern Language Association (MLA)
Tripathi, Mukut Mani…[et al.]. Indefinite Almost Paracontact Metric Manifolds. International Journal of Mathematics and Mathematical Sciences No. 2010 (2010), pp.1-19.
https://search.emarefa.net/detail/BIM-502872
American Medical Association (AMA)
Tripathi, Mukut Mani& Kılıç, Erol& Yüksel Perktaş, Selcen& Keleş, Sadık. Indefinite Almost Paracontact Metric Manifolds. International Journal of Mathematics and Mathematical Sciences. 2010. Vol. 2010, no. 2010, pp.1-19.
https://search.emarefa.net/detail/BIM-502872
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-502872