Results 41 to 50 of about 130 (98)

Certain Results on the Lifts from an LP-Sasakian Manifold to Its Tangent Bundle Associated with a Quarter-Symmetric Metric Connection

, 2023
The purpose of this study is to examine the complete lifts from the symmetric and concircular symmetric n-dimensional Lorentzian para-Sasakian manifolds (briefly, (LPS)n) to its tangent bundle TM associated with a Riemannian connection DC and a quarter ...
Abdul Haseeb, Fatemah Mofarreh, Mohammad Nazrul Islam Khan, Mohit Saxena   +3 more
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

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

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

Paracomplex Paracontact Pseudo‐Riemannian Submersions

Geometry, Volume 2014, Issue 1, 2014., 2014
We introduce the notion of paracomplex paracontact pseudo‐Riemannian submersions from almost para‐Hermitian manifolds onto almost paracontact metric manifolds. We discuss the transference of structures on total manifolds and base manifolds and provide some examples.
S. S. Shukla, Uma Shankar Verma, Bennett Palmer   +2 more
wiley   +1 more source

Nonexistence of Totally Contact Umbilical Slant Lightlike Submanifolds of Indefinite Cosymplectic Manifolds

International Scholarly Research Notices, Volume 2013, Issue 1, 2013., 2013
We study totally contact umbilical slant lightlike submanifolds of indefinite cosymplectic manifolds. We prove that there do not exist totally contact umbilical proper slant lightlike submanifolds in indefinite cosymplectic manifolds other than totally contact geodesic proper slant lightlike submanifolds.
Rashmi Sachdeva, Rakesh Kumar, Satvinder Singh Bhatia, A. Fino, C. Qu, E. H. Saidi   +5 more
wiley   +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

Some Curvature Properties of (LCS) n‐Manifolds

Abstract and Applied Analysis, Volume 2013, Issue 1, 2013., 2013
The object of the present paper is to study (LCS) n‐manifolds with vanishing quasi‐conformal curvature tensor. (LCS) n‐manifolds satisfying Ricci‐symmetric condition are also characterized.
Mehmet Atçeken, Narcisa C. Apreutesei
wiley   +1 more source

Lorentzian Para‐Kenmotsu Manifolds Within the Framework of ∗‐Conformal η‐Ricci Soliton

Journal of Applied Mathematics, Volume 2025, Issue 1, 2025.
The present article intends to study the ∗‐conformal η‐Ricci soliton on n‐LPK (n‐dimensional Lorentzian para‐Kenmotsu) manifolds with curvature constraints. On n‐LPK, we derive certain results of ∗‐conformal η‐Ricci soliton satisfying the Codazzi‐type equation, R(ξ, L) · S = 0, the projective flatness of the n‐LPK manifold. At last, we conclude with an
Shyam Kishor, Arun Kumar Bhardwaj, Naveen Mani, Rahul Shukla, Arpan Hazra   +4 more
wiley   +1 more source

A Study on Ricci Solitons in Kenmotsu Manifolds

International Scholarly Research Notices, Volume 2013, Issue 1, 2013., 2013
We study and obtain results on Ricci solitons in Kenmotsu manifolds satisfying R(ξ, X) · B = 0, B(ξ, X) · S = 0, S(ξ, X) · R = 0, R(ξ,X)·P¯=0, and P¯(ξ,X)·S=0, where B and P¯ are C‐Bochner and pseudo‐projective curvature tensor.
C. S. Bagewadi, Gurupadavva Ingalahalli, S. R. Ashoka, R. Farnsteiner, V. S. Matveev   +4 more
wiley   +1 more source