Results 41 to 50 of about 4,004 (122)

Curvature Properties of Quasi-Para-Sasakian Manifolds

International Electronic Journal of Geometry, 2019
The present paper is devoted to quasi-Para-Sasakian manifolds. Basic properties of such manifolds are obtained and general curvature identities are investigated. Next it is proved that if $M$ is quasi-Para-Sasakian manifold of constant curvature $K$. Then $K$ $\leq 0$ and $(i)~$if $K=0$, the manifold is paracosymplectic, $(ii)$ if $K<0$, the quasi ...
openaire   +5 more sources

Generalized Z‐Solitons on LP‐Sasakian Manifolds With the General Connection

Journal of Mathematics, Volume 2026, Issue 1, 2026.
This work focuses on LP‐Sasakian manifolds endowed with generalized Z‐solitons constructed with respect to an arbitrary affine connection. To conclude, we provide an explicit and nontrivial example in the four‐dimensional case, thereby establishing the realization of such solitons on LP‐Sasakian manifolds.
Shahroud Azami, Mehdi Jafari, Francisco J. Garcia-Pacheco   +2 more
wiley   +1 more source

On trans-para-Sasakian manifolds

Filomat
In this paper, we investigate the geometry of the trans-para-Sasakian manifolds. Finally, an example of a three-dimensional trans-para-Sasakian manifold is constructed to verify the results.
Ozkan, Mustafa, Erken, Irem Kupeli, De, Uday Chand   +2 more
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Conformal Ricci soliton in para-Sasakian manifolds

Novi Sad Journal of Mathematics, 2021
Summary: The object of the present paper is to study \(M\)-projective curvature tensor, pseudo projective curvature tensor, Ricci curvature tensor in para-Sasakian manifold admitting conformal Ricci soliton. We have studied \(M\)-projective semi symmetric para-Sasakian manifolds admitting a conformal Ricci soliton.
Kishor, Shyam, Verma, Pushpendra
openaire   +1 more source

Hyper-Generalized Weakly Symmetric Para-Sasakian Manifolds and Their Geometric Properties

Қарағанды университетінің хабаршысы. Математика сериясы
This paper examines para-Sasakian manifolds that satisfy a hyper-generalized weakly symmetric curvature condition. The conditions under which such a manifold with a hyper-generalized weakly symmetric curvature condition satisfies the η-Einstein manifold
B. Thangjam, M.S. Devi
doaj   +1 more source

PARA-SASAKIAN MANIFOLD ADMITTING RICCI-YAMABE SOLITONS WITH QUARTER SYMMETRIC METRIC CONNECTION

Facta Universitatis Series Mathematics and Informatics
In the year 2019, Guler and Crasmareanu [6] conducted an investigation into another geometric flow known as the Ricci-Yamabe map. This map is nothing but a scalar combination of the Ricci and the Yamabe flow [7].
A. Siddiqui, Rajeev Budhiraja, K. Ahmad, B. Kamran, Ahmad Aliya, Naaz Siddiqui   +5 more
semanticscholar   +1 more source

Lightlike Hypersurfaces of an Indefinite Para Sasakian Manifold

Adıyaman University Journal of Science, 2019
In this paper, we initiate the study of lightlike hypersurfaces of an indefinite almost paracontact metric manifold which are tangent to the structure vector field.
S. Perktaş, E. Kiliç, M. Tripathi
semanticscholar   +1 more source

Novel Theorems on Spacetime Admitting Pseudo‐W2 Curvature Tensor

Journal of Mathematics, Volume 2026, Issue 1, 2026.
This paper investigates spacetime manifolds admitting a pseudo‐W2 curvature tensor. We show that a pseudo‐W2 flat spacetime is an Einstein manifold and therefore has constant curvature. Moreover, when the manifold satisfies the Einstein field equations (EFE), with a cosmological constant, the associated energy–momentum tensor is covariantly constant ...
B. B. Chaturvedi, Prabhawati Bhagat, Mohammad Nazrul Islam Khan, Ljubisa Kocinac   +3 more
wiley   +1 more source

On Some Types of Slant Submanifolds on Poly‐Norden Riemannian Manifolds

Journal of Mathematics, Volume 2026, Issue 1, 2026.
The goal of this paper is to study some types of slant submanifolds such as bislant submanifolds and quasi‐bislant submanifolds of poly‐Norden Riemannian manifolds. We obtain integrability conditions for the involved distribution in such submanifolds. Also, we obtain nontrivial examples on these types of submanifolds.
M. Aykut Akgün, Smritijit Sen
wiley   +1 more source

Lorentzian Para-Sasakian Manifolds and *-Ricci Solitons

Kragujevac Journal of Mathematics
We study the properties of Lorentzian para-Sasakian manifolds endowed with ∗-Ricci solitons and gradient ∗-Ricci solitons. Finally, the existence of ∗-Ricci soliton on a 4-dimensional Lorentzian para-Sasakian manifold is proved by constructing a non-trivial ...
Haseeb, Abdul, Chaubey, Sudhakar K.
openaire   +2 more sources