Results 11 to 20 of about 3,845 (153)

Indefinite Almost Paracontact Metric Manifolds [PDF]

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2010
We introduce the concept of (ε)-almost paracontact manifolds, and in particular, of (ε)-para-Sasakian manifolds. Several examples are presented. Some typical identities for curvature tensor and Ricci tensor of (ε)-para Sasakian manifolds are obtained. We
Mukut Mani Tripathi   +3 more
doaj   +6 more sources

Tangent Bundles Endowed with Quarter-Symmetric Non-Metric Connection (QSNMC) in a Lorentzian Para-Sasakian Manifold

open access: yesMathematics, 2023
The purpose of the present paper is to study the complete lifts of a QSNMC from an LP-Sasakian manifold to its tangent bundle. The lifts of the curvature tensor, Ricci tensor, projective Ricci tensor, and lifts of Einstein manifold endowed with QSNMC in ...
Rajesh Kumar   +3 more
doaj   +3 more sources

3-Quasi-Sasakian manifolds [PDF]

open access: yesAnnals of Global Analysis and Geometry, 2007
In the present paper we carry on a systematic study of 3-quasi-Sasakian manifolds. In particular we prove that the three Reeb vector fields generate an involutive distribution determining a canonical totally geodesic and Riemannian foliation. Locally, the leaves of this foliation turn out to be Lie groups: either the orthogonal group or an abelian one.
CAPPELLETTI MONTANO, BENIAMINO   +2 more
openaire   +5 more sources

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

open access: yesMathematica Bohemica, 2022
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.
Payel Karmakar
doaj   +1 more source

Nearly Sasakian Manifolds of Constant Type

open access: yesAxioms, 2022
The article deals with nearly Sasakian manifolds of a constant type. It is proved that the almost Hermitian structure induced on the integral manifolds of the maximum dimension of the first fundamental distribution of the nearly Sasakian manifold is a ...
Aligadzhi Rustanov
doaj   +1 more source

Geometry of warped product pseudo slant submanifolds in nearly Lorentzian para Sasakian Manifold [PDF]

open access: yesJournal of Hyperstructures, 2023
The object of the present paper is to study Lorentzian para-Sasakian manifold on a pseudo slant submanifold and usingsome properties like warped product on manifolds, totally geodesic foliation, integrability on the properties of nearly Lorentzian para ...
Shamsur Rahman, Avijit Kumar Paul
doaj   +1 more source

On Ricci solitons in LP-Sasakian manifolds

open access: yesBibechana, 2020
In this paper we study Ricci solitons in Lorentzian para-Sasakian manifolds. It is proved that the Ricci soliton in a (2n+1)-dimensinal LP-Sasakian manifold is shrinking.
Riddhi Jung Shah
doaj   +3 more sources

On contact conformal curvature tensor in trans-Sasakian manifolds

open access: yesBibechana, 2014
The purpose of this paper is to study some results on contact conformal curvature tensor in trans-Sasakian manifolds. Contact conformally flat trans-Sasakian manifold, ζ-contact conformally flat trans-Sasakian manifold and curvature conditions C0(ζ.X).S
Riddhi Jung Shah
doaj   +3 more sources

Some results on $\eta$-Yamabe solitons in 3-dimensional trans-Sasakian manifold

open access: yesKarpatsʹkì Matematičnì Publìkacìï, 2022
The object of the present paper is to study some properties of 3-dimensional trans-Sasakian manifold whose metric is $\eta$-Yamabe soliton. We have studied here some certain curvature conditions of 3-dimensional trans-Sasakian manifold admitting $\eta ...
S. Roy, S. Dey, A. Bhattacharyya
doaj   +1 more source

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