On Sectional Curvatures of (ε)-Sasakian Manifolds

We obtain some basic results for Riemannian curvature tensor of (ε)-Sasakian manifolds and then establish equivalent relations among φ-sectional curvature, totally real sectional curvature, and totally real bisectional curvature for (ε)-Sasakian manifolds.

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Main Authors: Rakesh Kumar, Rachna Rani, R. K. Nagaich
Format: Article
Language:English
Published: Wiley 2007-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/2007/93562
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author Rakesh Kumar
Rachna Rani
R. K. Nagaich
author_facet Rakesh Kumar
Rachna Rani
R. K. Nagaich
author_sort Rakesh Kumar
collection DOAJ
description We obtain some basic results for Riemannian curvature tensor of (ε)-Sasakian manifolds and then establish equivalent relations among φ-sectional curvature, totally real sectional curvature, and totally real bisectional curvature for (ε)-Sasakian manifolds.
format Article
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institution Kabale University
issn 0161-1712
1687-0425
language English
publishDate 2007-01-01
publisher Wiley
record_format Article
series International Journal of Mathematics and Mathematical Sciences
spelling doaj-art-a690bc66ff22423e9d49813ef36544732025-02-03T05:51:39ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252007-01-01200710.1155/2007/9356293562On Sectional Curvatures of (ε)-Sasakian ManifoldsRakesh Kumar0Rachna Rani1R. K. Nagaich2Department of Mathematics, University College of Engineering, Punjabi University Patiala, 147002, IndiaDepartment of Mathematics, Punjabi University, Patiala, 147002, IndiaDepartment of Mathematics, Punjabi University, Patiala, 147002, IndiaWe obtain some basic results for Riemannian curvature tensor of (ε)-Sasakian manifolds and then establish equivalent relations among φ-sectional curvature, totally real sectional curvature, and totally real bisectional curvature for (ε)-Sasakian manifolds.http://dx.doi.org/10.1155/2007/93562
spellingShingle Rakesh Kumar
Rachna Rani
R. K. Nagaich
On Sectional Curvatures of (ε)-Sasakian Manifolds
International Journal of Mathematics and Mathematical Sciences
title On Sectional Curvatures of (ε)-Sasakian Manifolds
title_full On Sectional Curvatures of (ε)-Sasakian Manifolds
title_fullStr On Sectional Curvatures of (ε)-Sasakian Manifolds
title_full_unstemmed On Sectional Curvatures of (ε)-Sasakian Manifolds
title_short On Sectional Curvatures of (ε)-Sasakian Manifolds
title_sort on sectional curvatures of ε sasakian manifolds
url http://dx.doi.org/10.1155/2007/93562
work_keys_str_mv AT rakeshkumar onsectionalcurvaturesofesasakianmanifolds
AT rachnarani onsectionalcurvaturesofesasakianmanifolds
AT rknagaich onsectionalcurvaturesofesasakianmanifolds