Results 11 to 20 of about 266 (135)
Quarter-symmetric metric connection in a P-Sasakian manifold
Annals of the West University of Timisoara: Mathematics and Computer Science, 2015 In this paper, we consider a quarter-symmetric metric connection in a P-Sasakian manifold. We investigate the curvature tensor and the Ricci tensor of a P-Sasakian manifold with respect to the quarter-symmetric metric connection.
Mandal Krishanu, De Uday Chand
doaj +4 more sources
On complex Sasakian manifolds [PDF]
Afrika Matematika, 2020 In this article we study a class of normalθcomplexθcontactθmetricθmanifold which is called a complex Sasakian manifold. This kind of manifold has a globally defined complex contact form and normal complex contact structure. We give the definition of a complex Sasakian manifold by consider the real case and we present general properties.
Aysel Turgut Vanlı +2 more
openaire +3 more sources
Surveys in Differential Geometry, 2001 59 pages, to appear in Essays on Einstein Manifolds, M. Wang and C.
Galicki, K., Boyer, C.
openaire +3 more sources
Hypersurfaces of a Sasakian manifold - revisited [PDF]
Journal of Inequalities and Applications, 2021 AbstractWe study orientable hypersurfaces in a Sasakian manifold. The structure vector field ξ of a Sasakian manifold determines a vector field v on a hypersurface that is the component of the Reeb vector field ξ tangential to the hypersurface, and it also gives rise to a smooth function σ on the hypersurface, namely the projection of ξ on the unit ...
Sharief Deshmukh +3 more
openaire +2 more sources
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
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
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
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 Survey on Riemannian Curvature Tensor for Certain Classes of Almost Contact Metric Manifolds [PDF]
مجلة جامعة الانبار للعلوم الصرفةThis paper is survey the components of Riemannian curvature tensor over the associated space of G-structures for certain classes of almost contact metric manifolds.
Mohammed Abass
doaj +1 more source