Results 1 to 10 of about 30 (29)

On lightlike geometry of para-Sasakian manifolds. [PDF]

open access: yesScientificWorldJournal, 2014
We study lightlike hypersurfaces of para‐Sasakian manifolds tangent to the characteristic vector field. In particular, we define invariant lightlike hypersurfaces and screen semi‐invariant lightlike hypersurfaces, respectively, and give examples. Integrability conditions for the distributions on a screen semi‐invariant lightlike hypersurface of para ...
Acet BE, Yüksel Perktaş S, Kılıç E.
europepmc   +2 more sources

Some curvature properties of para-Kenmotsu Manifold with respect to Zamkovoy connection [PDF]

open access: yesJournal of Hyperstructures, 2023
In the present paper we study some properties of the para-Kenmotsu manifold with respect to Zamkovoy connection. We discuss locally Φ-symmetric para-Kenmotsu manifold with respect to the Zamkovoy connection.
Abhijit Mandal   +3 more
doaj   +1 more source

On pseudo-projective curvature tensor of sasakian manifold admitting zamkovoy connection [PDF]

open access: yesJournal of Hyperstructures, 2021
The purpose of the present paper is to study some properties of Sasakian manifolds with respect to Zamkovoy connection. Here, we study pseudo-projectively flat, quasi-pseudoprojectively flat and φ-pseudo-projectively flat Sasakian manifolds admitting ...
Abhijit Mandal, Ashoke Das
doaj   +1 more source

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

The Zamkovoy canonical paracontact connection on a para-Kenmotsu manifold

open access: yesCubo, 2021
The object of the paper is to study a type of canonical linear connection, called the Zamkovoy canonical paracontact connection on a para-Kenmotsu manifold.
D. G. Prakasha   +3 more
doaj   +1 more source

Some solitons on anti-invariant submanifold of LP-Kenmotsu manifold admitting Zamkovoy connection [PDF]

open access: yesJournal of Hyperstructures
In this paper we prove some curvature properties of anti-invariant submanifold of Lorentzian para-Kenmotsu manifold (briefly, LP-Kenmotsu manifolds) with respect to Zamkovoy connection (∇∗).
Abhijit Mandal, Meghlal Mallik
doaj   +1 more source

Conformal Ricci soliton in Sasakian manifolds admitting general connection [PDF]

open access: yesJournal of Hyperstructures
The object of the present paper is to study the Conformal Ricci soliton in Sasakian manifold admitting general connection, which is induced with quarter symmetric metric connection, generalized Tanaka Webster connection, Schouten-Van Kampen connection ...
Raghujyoti Kundu   +2 more
doaj   +1 more source

On ϕ‐Symmetric N(k)‐Paracontact Metric Manifolds

open access: yesJournal of Mathematics, Volume 2015, Issue 1, 2015., 2015
The notions of ϕ‐symmetric, 3‐dimensional locally ϕ‐symmetric, ϕ‐Ricci symmetric, and 3‐dimensional locally ϕ‐Ricci symmetric N(k)‐paracontact metric manifolds have been introduced and properties of these structures have been discussed.
D. G. Prakasha   +2 more
wiley   +1 more source

Some Curvature Conditions on a Para‐Sasakian Manifold with Canonical Paracontact Connection

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 2012, Issue 1, 2012., 2012
We study canonical paracontact connection on a para‐Sasakian manifold. We prove that a Ricci‐flat para‐Sasakian manifold with respect to canonical paracontact connection is an η‐Einstein manifold. We also investigate some properties of curvature tensor, conformal curvature tensor, W2‐curvature tensor, concircular curvature tensor, projective curvature ...
Bilal Eftal Acet   +3 more
wiley   +1 more source
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