Results 31 to 40 of about 197 (118)

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

Projective Curvature Tensor with Respect to Zamkovoy Connection in Lorentzian Para-Sasakian Manifolds [PDF]

Journal of the Indonesian Mathematical Society, 2020
The purpose of the present paper is to study some properties of the Projective curvature tensor with respect to Zamkovoy connection in Lorentzian Para Sasakian manifold(or,LP-Sasakian manifold)'And we have studied some results in Lorentzian Para-Sasakian manifold with the help of Zamkovoy connection and Projective curvature tensor.Also we discussed the
Mandal, Abhijit, Das, Ashoke
openaire   +1 more source

On generalized weakly (Ricci) $\phi $-symmetric Lorentzian Para Sasakian manifold

Novi Sad Journal of Mathematics, 2020
Summary: The present paper attempts to introduce the notion of generalized weakly \(\phi \)-symmetric and generalized weakly Ricci \(\phi \)-symmetric Lorentzian Para Sasakian manifold. Furthermore, we study generalized weakly \(\phi \)-symmetric Lorentzian Para-Sasakian spacetimes. In addition, the existence of a generalized weakly \(\phi \)-symmetric
Baishya, Kanak Kanti, Bakshi, Manoj Ray, Biswas, Ashis   +2 more
openaire   +2 more sources

Some Properties of Lorentzian $\alpha $-Sasakian Manifolds with Respect to Quarter-symmetric Metric Connection [PDF]

, 2015
summary:The aim of this paper is to study generalized recurrent, generalized Ricci-recurrent, weakly symmetric and weakly Ricci-symmetric, semi-generalized recurrent, semi-generalized Ricci-recurrent Lorentzian $\alpha $-Sasakian manifold with respect to
BHATTACHARYYA, Arindam, DEY, Santu
core   +1 more source

$\eta$-RICCI SOLITONS AND GRADIENT RICCI SOLITONS ON $\delta$- LORENTZIAN TRANS-SASAKIAN MANIFOLDS

, 2021
The objective of the present research article is to study the $\delta$-Lorentzian trans-Sasakian manifolds conceding the $\eta$-Ricci solitons and gradient Ricci soliton.
Siddiqi, Mohd Danish, Akyol, Mehmet Akif
core   +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

Conformal Ricci Soliton in Lorentzian $\alpha $-Sasakian Manifolds

, 2016
summary:In this paper we have studied conformal curvature tensor, conharmonic curvature tensor, projective curvature tensor in Lorentzian $\alpha $-Sasakian manifolds admitting conformal Ricci soliton. We have found that a Weyl conformally semi symmetric
BHATTACHARYYA, Arindam, Dutta, Tamalika, Basu, Nirabhra   +2 more
core   +1 more source

Curvature tensors and Ricci solitons with respect to Zamkovoy connection in anti-invariant submanifolds of trans-Sasakian manifold [PDF]

, 2022
summary:The present paper deals with the study of some properties of anti-invariant submanifolds of trans-Sasakian manifold with respect to a new non-metric affine connection called Zamkovoy connection. The nature of Ricci flat, concircularly flat, $\xi $
Karmakar, Payel
core   +1 more source

Some Curvature Properties on Lorentzian Generalized Sasakian‐Space‐Forms

Advances in Mathematical Physics, Volume 2019, Issue 1, 2019., 2019
In this paper, we investigate the Lorentzian generalized Sasakian‐space‐form. We give the necessary and sufficient conditions for the Lorentzian generalized Sasakian‐space‐form to be projectively flat, conformally flat, conharmonically flat, and Ricci semisymmetric and their relationship between each other.
Rongsheng Ma, Donghe Pei, David Carfì
wiley   +1 more source

Some Classes of Lorentzian $\alpha $-Sasakian Manifolds Admitting a Quarter-symmetric Metric Connection

, 2016
summary:The object of the present paper is to study a quarter-symmetric metric connection in an Lorentzian $\alpha $-Sasakian manifold. We study some curvature properties of an Lorentzian $\alpha $-Sasakian manifold with respect to the quarter-symmetric ...
BHATTACHARYYA, Arindam, Pal, Buddhadev, DEY, Santu   +2 more
core   +1 more source