Results 41 to 50 of about 4,274 (159)

CR-submanifolds of a nearly trans-Sasakian manifold

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2002
This paper considers the study of CR-submanifolds of a nearly trans-Sasakian manifold, generalizing the results of trans-Sasakian manifolds and thus those of Sasakian manifolds.
Falleh R. Al-Solamy
doaj   +1 more source

Study of η-einstein soliton on α-sasakian manifold admitting schouten-van kampen connection [PDF]

open access: yesJournal of Hyperstructures
The purpose of the present paper is to study some properties of α -Sasakian manifolds with respect to Schouten-van Kampen connection. We study η-Einstein soliton on pseudo-projectively flat α-Sasakian manifolds with respect to Schouten-van Kampen ...
Abhijit Mandal   +5 more
doaj   +1 more source

A Study of Doubly Warped Product Immersions in a Nearly Trans-Sasakian Manifold with Slant Factor

open access: yesAdvances in Mathematical Physics, 2021
In this article, we discuss the de Rham cohomology class for bislant submanifolds in nearly trans-Sasakian manifolds. Moreover, we give a classification of warped product bislant submanifolds in nearly trans-Sasakian manifolds with some nontrivial ...
Ali H. Alkhaldi   +3 more
doaj   +1 more source

Sasaki-Einstein and paraSasaki-Einstein metrics from (\kappa,\mu)-structures [PDF]

open access: yes, 2013
We prove that any non-Sasakian contact metric (\kappa,\mu)-space admits a canonical \eta-Einstein Sasakian or \eta-Einstein paraSasakian metric. An explicit expression for the curvature tensor fields of those metrics is given and we find the values of ...
Alegre   +33 more
core   +2 more sources

On Eta-Einstein Sasakian Geometry [PDF]

open access: yes, 2005
We study eta-Einstein geometry as a class of distinguished Riemannian metrics on contact metric manifolds. In particular, we use a previous solution of the Calabi problem for Sasakian geometry to prove the existence of eta-Einstein structures on many ...
Boyer, Charles P.   +2 more
core   +2 more sources

Three-dimensional trans-Sasakian manifolds and solitons [PDF]

open access: yesArab Journal of Mathematical Sciences, 2022
Purpose – The authors set the goal to find the solution of the Eisenhart problem within the framework of three-dimensional trans-Sasakian manifolds.
Sudhakar Kumar Chaubey, Uday Chand De
doaj   +1 more source

Sasakian Finsler manifolds

open access: yesTurkish Journal of Mathematics, 2013
In this study, almost contact Finsler structures on vector bundle are defined and the condition of normality in terms of the Nijenhuis torsion Nf of almost contact Finsler structure is obtained. It is shown that for a K-contact structure on Finsler manifold \nablaX x =-\frac{1}{2} f X and the flag curvature for plane sections containing x are equal to \
Yalınız, Ayşe Funda   +1 more
openaire   +2 more sources

Approximation of regular Sasakian manifolds

open access: yesPacific Journal of Mathematics, 2023
arXiv admin note: substantial text overlap with arXiv:2305.05509, arXiv:2210 ...
openaire   +4 more sources

Reduction of Sasakian manifolds [PDF]

open access: yesJournal of Mathematical Physics, 2001
We show that the contact reduction can be specialized to Sasakian manifolds. We prove that the Sasakian reduction is compatible with the Kähler reduction both in the cone construction and in the Boothby–Wang fibration. In particular, applying Futaki’s results, we obtain a sufficient condition for the reduced space of a regular Sasakian–Einstein ...
Grantcharov, Gueo, Ornea, Liviu
openaire   +2 more sources

Clairaut anti-invariant submersions from Lorentzian trans-Sasakian manifolds [PDF]

open access: yesArab Journal of Mathematical Sciences
Purpose – The central idea of this research article is to examine the characteristics of Clairaut submersions from Lorentzian trans-Sasakian manifolds of type (α, β) and also, to enhance this geometrical analysis with some specific cases, namely Clairaut
Mohd Danish Siddiqi   +2 more
doaj   +1 more source

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