Results 11 to 20 of about 4,274 (159)

Sasakian statistical manifolds

Journal of Geometry and Physics, 2017
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Furuhata, Hitoshi, Hasegawa, Izumi, Okuyama, Yukihiko, Sato, Kimitake, Shahid, Mohammad Hasan   +4 more
openaire   +4 more sources

Lifts of a Semi-Symmetric Metric Connection from Sasakian Statistical Manifolds to Tangent Bundle

Mathematics
The lifts of Sasakian statistical manifolds associated with a semi-symmetric metric connection in the tangent bundle are characterized in the current research.
Rajesh Kumar, Sameh Shenawy, Nasser Bin Turki, Lalnunenga Colney, Uday Chand De   +4 more
doaj   +3 more sources

3-Quasi-Sasakian manifolds [PDF]

Annals 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, DE NICOLA A, DILEO A.   +2 more
openaire   +5 more sources

On an (ε,δ)-trans-Sasakian structure; pp. 20–28 [PDF]

Proceedings of the Estonian Academy of Sciences, 2012
In this paper we investigate (ε,δ)-trans-Sasakian manifolds which generalize the notion of (ε)-Sasakian and (ε)-Kenmotsu manifolds. We prove the existence of such a structure by an example and we consider φ-recurrent, pseudo-projectively flat and ...
Halammanavar G. Nagaraja, Rangaswami C. Premalatha, Ganganna Somashekara   +2 more
doaj   +1 more source

On trans-Sasakian $3$-manifolds as $\eta$-Einstein solitons

Karpatsʹkì Matematičnì Publìkacìï, 2021
The present paper is to deliberate the class of $3$-dimensional trans-Sasakian manifolds which admits $\eta$-Einstein solitons. We have studied $\eta$-Einstein solitons on $3$-dimensional trans-Sasakian manifolds where the Ricci tensors are Codazzi type ...
D. Ganguly, S. Dey, A. Bhattacharyya
doaj   +1 more source

Some New Results on Trans-Sasakian Manifolds

Journal of Mathematics, 2022
In this paper, we classify trans-Sasakian manifolds which are realized as real hypersurfaces in a complex space form. We also investigate trans-Sasakian manifolds whose Reeb vector fields are harmonic-Killing.
Lei Wang, Yan Zhao
doaj   +1 more source

On invariant submanifolds of trans-Sasakian manifolds; pp. 29–37 [PDF]

Proceedings of the Estonian Academy of Sciences, 2012
The object of the present paper is to find necessary and sufficient conditions for invariant submanifolds of trans-Sasakian manifolds to be totally geodesic.
Avijit Sarkar, Matilal Sen
doaj   +1 more source

Sasakian structures a foliated approach

Demonstratio Mathematica, 2017
Recent renewed interest in Sasakian manifolds is due mainly to the fact that they can provide examples of generalized Einstein manifolds, manifolds which are of great interest in mathematical models of various aspects of physical phenomena.
Wolak Robert A.
doaj   +1 more source

Nearly Sasakian Manifolds of Constant Type

Axioms, 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

A note on quasi-hemi slant submanifolds of nearly trans-Sasakian manifolds [PDF]

Journal of Hyperstructures, 2023
Here our main objective is to introduce the notion of quasi hemi-slant submanifolds as a generalized case of slant sub-manifolds, semi-slant submanifolds and hemi-slant submanifolds of contact metric manifolds.
Shamsur Rahman, Amit Kumar Rai
doaj   +1 more source