Results 1 to 10 of about 81 (64)
On Compact Trans-Sasakian Manifolds
We study 3-dimensional compact and simply connected trans-Sasakian manifolds and find necessary and sufficient conditions under which these manifolds are homothetic to Sasakian manifolds.
Ibrahim Al-Dayel, Sharief Deshmukh
doaj +2 more sources
Some New Results on Trans-Sasakian Manifolds
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 +2 more sources
A Study of Doubly Warped Product Immersions in a Nearly Trans-Sasakian Manifold with Slant Factor
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 +2 more sources
Some Conditions on Trans-Sasakian Manifolds to Be Homothetic to Sasakian Manifolds
In this paper, we study 3-dimensional compact and connected trans-Sasakian manifolds and find necessary and sufficient conditions under which these manifolds are homothetic to Sasakian manifolds.
Sharief Deshmukh +3 more
doaj +3 more sources
Three-dimensional trans-Sasakian manifolds and solitons [PDF]
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 +3 more sources
Geometric inequalities for warped product bi-slant submanifolds with a warping function. [PDF]
In this paper, we prove that the squared norm of the second fundamental form for bi-slant submanifolds with any codimension of nearly trans-Sasakian manifolds is bounded below by the gradient of a warping function and also find the conditions on which ...
Siddiqui AN, Shahid MH, Lee JW.
europepmc +2 more sources
Geometry of Harmonic Nearly Trans-Sasakian Manifolds
This paper considers a class of nearly trans-Sasakian manifolds. The local structure of nearly trans-Sasakian structures with a closed contact form and a closed Lee form is obtained.
Aligadzhi R. Rustanov
doaj +3 more sources
CR-submanifolds of a nearly trans-Sasakian manifold
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 +2 more sources
Noninvariant Hypersurfaces of a Nearly Trans-Sasakian Manifolds
The present paper focuses on the study of noninvariant hypersurfaces of a nearly trans-Sasakian manifold equipped with (f,g,u,v,λ)-structure. Initially some properties of this structure have been discussed.
Satya Prakash Yadav, Shyam Kishor
doaj +2 more sources
Clairaut anti-invariant submersions from Lorentzian trans-Sasakian manifolds [PDF]
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 +3 more sources

