Results 31 to 40 of about 159 (84)

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

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

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

Semi-symmetric metric connections on pseudosymmetric Lorentzian α-Sasakian manifolds

, 2014
We consider semi-symmetric metric connections on pseudosymmetric Lorentzian α-Sasakian manifolds. We study some properties of Weyl pseudosymmetric and Ricci pseudosymmetric Lorentzian α-Sasakian manifolds.
Bhattacharyya, A., Patra, C.
core   +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

Harmonic (p, q)‐Curves in Trans‐Sasakian and Normal Almost Paracontact Metric Manifolds

Journal of Mathematics, Volume 2025, Issue 1, 2025.
In this paper, we give some characterizations about biharmonic, f‐harmonic, and f‐biharmonic (p, q)‐curves in 3‐dimensional trans‐Sasakian and normal almost paracontact metric manifolds. The (p, q)‐curves are considered as generalizations of magnetic curves.
Murat Altunbaş, B. B. Upadhyay
wiley   +1 more source

SOME PROPERTIES OF LORENTZIAN SASAKIAN MANIFOLDS WITH TANAKA-WEBSTER CONNECTION [PDF]

, 2012
In this work we study some curvature properties of Lorentzian Sasakian manifolds with respect to the Tanaka-Webster connection and obtain some results about the slant curves of the 3-dimensional Lorentzian Sasakian manifold with Tanaka-Webster ...
Erdogan, Mehmet, Pirincci, Beran, Alo, Jeta, Yilmaz, Gulsen   +3 more
core   +1 more source