Results 31 to 40 of about 130 (98)

A Note on LP‐Sasakian Manifolds with Almost Quasi‐Yamabe Solitons

Journal of Mathematics, Volume 2021, Issue 1, 2021., 2021
We categorize almost quasi‐Yamabe solitons on LP‐Sasakian manifolds and their CR‐submanifolds whose potential vector field is torse‐forming, admitting a generalized symmetric metric connection of type (α, β). Finally, a nontrivial example is provided to confirm some of our results.
Sunil Kumar Yadav, D. L. Suthar, Biniyam Shimelis, Ram Jiwari   +3 more
wiley   +1 more source

A New Class of Contact Pseudo Framed Manifolds with Applications

International Journal of Mathematics and Mathematical Sciences, Volume 2021, Issue 1, 2021., 2021
In this paper, we introduce a new class of contact pseudo framed (CPF)‐manifolds (M, g, f, λ, ξ) by a real tensor field f of type (1,1), a real function λ such that f3 = λ2f where ξ is its characteristic vector field. We prove in our main Theorem 2 that M admits a closed 2‐form Ω if λ is constant.
K. L. Duggal, Luca Vitagliano
wiley   +1 more source

Pseudo‐Parallel Characteristic Jacobi Operators on Contact Metric 3 Manifolds

Journal of Mathematics, Volume 2021, Issue 1, 2021., 2021
We prove that the characteristic Jacobi operator on a contact metric three manifold is semiparallel if and only if it vanishes. We determine Lie groups of dimension three admitting left invariant contact metric structures such that the characteristic Jacobi operators are pseudoparallel.
Wenjie Wang, Xinxin Dai, Antonio Masiello   +2 more
wiley   +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

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

Contact CR-submanifolds of an indefinite Lorentzian para-Sasakian manifold [PDF]

Acta Universitatis Sapientiae, Mathematica, 2013
Abstract In this paper we prove some properties of the indefinite Lorentzian para-Sasakian manifolds. Section 1 is introductory. In Section 2 we define D-totally geodesic and D⊥-totally geodesic contact CRsubmanifolds of an indefinite Lorentzian para-Sasakian manifold and deduce some results concerning such a manifold.
Laha Barnali, Das Bandana, Bhattacharyya Arindam   +2 more
openaire   +3 more sources

International Journal of Mathematical Combinatorics, Vol.7 [PDF]

, 2013
The International J.Mathematical Combinatorics (ISSN 1937-1055) is a fully refereed international journal, sponsored by the MADIS of Chinese Academy of Sciences and published in USA quarterly comprising 460 pages approx.
Mao, Linfan (Editor-in-Chief)
core   +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

Projective Curvature Tensorin 3-dimensional Connected Trans-Sasakian Manifolds [PDF]

, 2016
summary:The object of the present paper is to study $\xi $-projectively flat and $\phi $-projectively flat 3-dimensional connected trans-Sasakian manifolds.
De, Krishnendu, De, Uday Chand
core   +1 more source