Results 31 to 40 of about 521 (95)

A CLASSIFICATION OF SOME ALMOST α-PARA-KENMOTSU MANIFOLDS [PDF]

open access: yes, 2021
In this paper, we mainly study local structures and curvatures of the almost α-para-Kenmotsu manifolds. In particular, locally symmetric almost α-para-Kenmotsu manifolds satisfying certain nullity conditions are ...
Liu, Ximin, Pan, Quanxiang
core   +1 more source

ON f-KENMOTSU MANIFOLDS AND THEIR SUBMANIFOLDS WITH QUARTER SYMMETRIC METRIC CONNECTIONS [PDF]

open access: yes, 2021
The object of the present paper is to study invariant submanifolds of f-Kenmotsu manifolds with respect to quarter symmetric metric connections. Some necessary and sufficient conditions for such submanifolds to be totally geodesic have been deduced. Also
Biswas, Nirmal, Sarkar, Avijit
core   +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

Ricci solitons in three-dimensional paracontact geometry [PDF]

open access: yes, 2014
We completely describe paracontact metric three-manifolds whose Reeb vector field satisfies the Ricci soliton equation. While contact Riemannian (or Lorentz\-ian) Ricci solitons are necessarily trivial, that is, $K$-contact and Einstein, the paracontact ...
Calvaruso, Giovanni, Perrone, Antonella
core   +1 more source

A Study on Ricci Solitons in Kenmotsu Manifolds

open access: yesInternational 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   +4 more
wiley   +1 more source

Characterizations of PR-Pseudo-Slant Warped Product Submanifold of Para-Kenmotsu Manifold with Slant Base

open access: yesSymmetry, 2022
In this article, we study the properties of PR-pseudo-slant submanifold of para-Kenmotsu manifold and obtain the integrability conditions for the slant distribution and anti-invariant distribution of such submanifold.
S. Srivastava   +3 more
semanticscholar   +1 more source

Certain Results on Ricci Solitons in α‐Sasakian Manifolds

open access: yesGeometry, Volume 2013, Issue 1, 2013., 2013
We study Ricci solitons in α‐Sasakian manifolds and show that it is a shrinking or expanding soliton and the manifold is Einstein with Killing vector field. Further, we prove that if V is conformal Killilng vector field, then the Ricci soliton in 3‐dimensional α‐Sasakian manifolds is shrinking or expanding but cannot be steady.
S. R. Ashoka   +3 more
wiley   +1 more source

Geometric inequalities of $ \mathcal{PR} $-warped product submanifold in para-Kenmotsu manifold

open access: yesAIMS Mathematics, 2022
The main purpose of this paper is to study the properties of $ \mathcal{PR} $-semi-invariant submanifold of para-Kenmotsu manifold. We obtain the integrability conditions for the invariant distribution and anti-invariant distribution.
F. Mofarreh   +3 more
semanticscholar   +1 more source

Certain Results on Ricci Solitons in Trans‐Sasakian Manifolds

open access: yesJournal of Mathematics, Volume 2013, Issue 1, 2013., 2013
We study and obtain results on Ricci solitons in trans‐Sasakian manifolds satisfying R(ξ,X)·C̃=0, P(ξ,X)·C̃=0, H(ξ, X) · S = 0, and C̃(ξ,X)·S=0, where C̃, P, and H are quasiconformal, projective, and conharmonic curvature tensors.
C. S. Bagewadi   +2 more
wiley   +1 more source

CHARACTERIZATIONS OF CONTACT PSEUDO-SLANT SUBMANIFOLDS OF A PARA-KENMOTSU MANIFOLD

open access: yesJournal of Amasya University the Institute of Sciences and Technology, 2022
In this paper, the geometry of contact pseudo-slant submanifolds of a para Kenmotsu manifold howe been studied. The necessary and sufficient conditions for a submanifolds to be a contact pseudoslant submanifolds of a para Kenmotsu manifold are given.
S. Dirik, Ü. Yıldırım
semanticscholar   +1 more source

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