Results 21 to 30 of about 13,990,992 (117)

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.
Özgür, Cihan
core   +4 more sources

On $(epsilon)$ - Lorentzian para-Sasakian Manifolds

Iranian Journal of Mathematical Sciences and Informatics, 2022
Summary: The object of this paper is to study \((\epsilon)\)-Lorentzian para-Sasakian manifolds. Some typical identities for the curvature tensor and the Ricci tensor of \((\epsilon)\)-Lorentzian para-Sasakian manifold are investigated. Further, we study globally \(\phi\)-Ricci symmetric and weakly \(\phi\)-Ricci symmetric \((\epsilon)\)-Lorentzian ...
Prakasha, D. G., Prakash, A., Nagaraja, M., Veeresha, P.   +3 more
openaire   +2 more sources

Sub‐Lorentzian Geometry of Curves and Surfaces in a Lorentzian Lie Group

Advances in Mathematical Physics, Volume 2022, Issue 1, 2022., 2022
We consider the sub‐Lorentzian geometry of curves and surfaces in the Lie group E(1, 1). Firstly, as an application of Riemannian approximants scheme, we give the definition of Lorentzian approximants scheme for E(1, 1) which is a sequence of Lorentzian manifolds denoted by Eλ1,λ2L.
Haiming Liu, Jianyun Guan, Claudio Dappiaggi   +2 more
wiley   +1 more source

Geodesic Lightlike Submanifolds of Lorentzian Para-Sasakian Manifolds

Journal of Physics: Conference Series, 2022
Abstract In this paper we study invariant lightlike submanifolds of Lorentzian para-sasakian manifolds. We investigate geodesic CR-lightlike submanifolds of Lorentzian para-sasakian manifolds. We study screen CR-lightlike submanifolds of Lorentzian para-sasakian manifolds.
Ejaz Sabir Lone, Pankaj Pandey
openaire   +1 more source

The Sub‐Riemannian Limit of Curvatures for Curves and Surfaces and a Gauss‐Bonnet Theorem in the Group of Rigid Motions of Minkowski Plane with General Left‐Invariant Metric

Journal of Function Spaces, Volume 2021, Issue 1, 2021., 2021
The group of rigid motions of the Minkowski plane with a general left‐invariant metric is denoted by (E(1, 1), g(λ1, λ2)), where λ1 ≥ λ2 > 0. It provides a natural 2‐parametric deformation family of the Riemannian homogeneous manifold Sol3 = (E(1, 1), g(1, 1)) which is the model space to solve geometry in the eight model geometries of Thurston. In this
Jianyun Guan, Haiming Liu, Calogero Vetro   +2 more
wiley   +1 more source

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

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

QUASI-PARA-SASAKIAN MANIFOLD ADMITTING ZAMKOVOY CONNECTION [PDF]

, 2023
The purpose of the present study is to deduce some curvature properties of quasi-para-Sasakian manifold equipped with respect to Zamkovoy connection.
Mishra, Sandeep K., Pandey, Giteshwari, Singh, Ram N., Pandey, Shravan K.   +3 more
core   +1 more source