Results 41 to 50 of about 3,015 (140)

On a class of Lorentzian para-Sasakian manifold

Proceedings of the Estonian Academy of Sciences. Physics. Mathematics, 2006
We classify Lorentzian para-Sasakian manifolds which satisfy P · C = 0, Z · C = LC Q(g, C), P · Z − Z · P = 0, and P · Z + Z · P = 0, where P is the v−Weyl projective tensor, Z is the concircular tensor, and C is the Weyl conformal curvature tensor.
Cengizhan Murathan, Ahmet Yıldız, Kadri Arslan, Uday Chand De   +3 more
openaire   +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
openaire   +2 more sources

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

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

Rigidity of Minimal Legendrian Submanifolds in Sasakian Space Forms

Journal of Mathematics, Volume 2026, Issue 1, 2026.
This paper is concerned with the study on rigidity of minimal Legendrian submanifolds in Sasakian space forms under some certain geometric conditions, motivated by the classification of minimal Legendrian submanifolds with constant sectional curvature.
Dehe Li, Sicheng Li, Antonio Masiello
wiley   +1 more source

Generalized -Einstein 3-dimensional trans-Sasakian manifold

, 2020
. In the present note we have introduced a new concept called generalized -Einstein manifold in a 3-dimensional trans-Sasakian manifold and have given some preliminary ideas about the same.
Sasakian Manifold, Η-Einstein Manifold, Barnali Laha   +2 more
core  

Hypersurfaces of a Sasakian Manifold

, 2020
We extend the study of orientable hypersurfaces in a Sasakian manifold initiated by Watanabe. The Reeb vector field ξ of the Sasakian manifold induces a vector field ξ T on the hypersurface, namely the tangential component of ξ
Gabriel-Eduard Vîlcu, Nasser Bin Turki, Haila Alodan, Sharief Deshmukh   +3 more
core   +1 more source

Optimization of Soliton Structures Using Lifting Theory on Tangent Bundles of Statistical Kenmotsu Manifolds

Journal of Mathematics, Volume 2026, Issue 1, 2026.
This paper investigates the optimization of soliton structures on tangent bundles of statistical Kenmotsu manifolds through lifting theory. By constructing lifted statistical Kenmotsu structures using semisymmetric metric and nonmetric connections, we derive explicit expressions for the curvature tensor, Ricci operator, and scalar curvature. We analyze
Mohammad Nazrul Islam Khan, Lalnunenga Colney, Teg Alam, Pramita Mishra   +3 more
wiley   +1 more source