Results 71 to 80 of about 4,004 (122)

On para-sasakian manifolds satisfying certain curvature conditions

Filomat, 2017
In this paper, we investigate Ricci pseudo-symmetric and Ricci generalized pseudo-symmetric P-Sasakian manifolds. Next we study P-Sasakian manifolds satisfying the curvature condition S ? R = 0. Finally, we give an example of a 5-dimensional P-Sasakian manifold to verify some results.
De, U. C., Han, Yanling, Mandal, Krishanu   +2 more
openaire   +2 more sources

A Study on Contact Metric Manifolds Admitting a Type of Solitons

Journal of Mathematics, Volume 2024, Issue 1, 2024.
The principal aim of the present article is to characterize certain properties of η‐Ricci–Bourguignon solitons on three types of contact manifolds, that are K‐contact manifolds, (κ, μ)‐contact metric manifolds, and N(κ)‐contact metric manifolds. It is shown that if a K‐contact manifold admits an η‐Ricci–Bourguignon soliton whose potential vector field ...
Tarak Mandal, Uday Chand De, Meraj Ali Khan, Mohammad Nazrul Islam Khan, Dengfeng Lü   +4 more
wiley   +1 more source

A Study on Trans-para-Sasakian Manifolds

Journal of Innovative Science and Engineering (JISE)
In the current paper, we make the first contribution to investigate conditions under which three-dimensional trans-para-Sasakian manifold has η-parallel Ricci tensor and cyclic parallel Ricci tensor.
Mustafa Özkan, İrem Küpeli Erken
openaire   +3 more sources

On the geometry of trans-para-Sasakian manifolds

Filomat, 2019
In this paper, we introduce the trans-para-Sasakian manifolds and we study their geometry. These manifolds are an analogue of the trans-Sasakian manifolds in the Riemannian geometry. We shall investigate many curvature properties of these manifolds and we shall give many conditions under which the manifolds are either ?-Einstein or Einstein
openaire   +3 more sources

On invariant submanifolds of lorentzian para-sasakian manifolds

, 2009
We consider semiparallel and 2-semiparallel invariant submanifolds of Lorentzian para-Sasakian manifolds. We show that these submanifolds are totally geodesic. We also consider invariant submanifolds of Lorentzian para-Sasakian manifolds satisfying the conditions Z (X, Y) . alpha = 0 and Z (X, Y) . (del) over bar (alpha) = 0 with tau not equal n(n - 1).
Özgür, Cihan, Murathan, Cengizhan
openaire   +3 more sources

Einstein like $(\varepsilon)$-para Sasakian manifolds

, 2012
Einstein like $(\varepsilon)$-para Sasakian manifolds are introduced. For an $(\varepsilon) $-para Sasakian manifold to be Einstein like, a necessary and sufficient condition in terms of its curvature tensor is obtained. The scalar curvature of an Einstein like $(\varepsilon) $-para Sasakian manifold is obtained and it is shown that the scalar ...
Keleş, Sadik, Kiliç, Erol, Tripathi, Mukut Mani, Perktaş, Selcen Yüksel   +3 more
openaire   +2 more sources

A Note on Ricci Solitons on Para-Sasakian Manifolds

Erzincan Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2018
In the present paper, in an almost para-contact metric manifold, especially on para-Sasakian manifolds,  Ricci solitons were examined. Also, we consider the generalized quasi-conformal curvature tensor on a para-Sasakian manifold admitting Ricci soliton.
openaire   +2 more sources

Lightlike hypersurfaces of an $(\epsilon)$-para Sasakian manifold

, 2014
In this paper, we initiate the study of lightlike hypersurfaces of an $(\epsilon)$-almost paracontact metric manifold which are tangent to the structure vector field. In particular, we give definitions of invariant lightlike hypersurfaces and screen semi-invariant lightlike hypersurfaces, and give some examples.
Perktaş, Selcen Yüksel, Kılıç, Erol, Tripathi, Mukut Mani   +2 more
openaire   +1 more source

Second order parallel tensor on paracontact metric $(k, \mu, \nu)-$manifold and Trans-Para-Sasakian manifold

Electronic journal of mathematical analysis and applications
Y. R, H. G. Nagaraja
semanticscholar   +1 more source

Ricci Solitons on Para-Sasakian Manifolds

IOSR Journal of Mathematics, 2016
Balachandra S. Hadimani, D. G. Prakasha
openaire   +1 more source