Results 11 to 20 of about 1,722 (148)
On Compact Trans-Sasakian Manifolds [PDF]
Advances in Mathematical Physics, 2022 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
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CR-submanifolds of a nearly trans-Sasakian manifold [PDF]
International 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
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A Study of Doubly Warped Product Immersions in a Nearly Trans-Sasakian Manifold with Slant Factor [PDF]
Advances 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
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Some Conditions on Trans-Sasakian Manifolds to Be Homothetic to Sasakian Manifolds [PDF]
Mathematics, 2021 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
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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
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A (CHR)3-flat trans-Sasakian manifold
Pracì Mìžnarodnogo Geometričnogo Centru, 2019 In [4] M. Prvanovic considered several curvaturelike tensors defined for Hermitian manifolds. Developing her ideas in [3], we defined in an almost contact Riemannian manifold another new curvaturelike tensor field, which is called a contact ...
Koji Matsumoto
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Totally geodesic submanifolds of a trans-Sasakian manifold; pp. 249–257 [PDF]
Proceedings of the Estonian Academy of Sciences, 2013 We consider invariant submanifolds of a trans-Sasakian manifold and obtain the conditions under which the submanifolds are totally geodesic. We also study invariant submanifolds of a trans-Sasakian manifold satisfying Z(X, Y).h = 0, where Z is the ...
Avik De
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On Generalized
Chinese Journal of Mathematics, Volume 2014, Issue 1, 2014., 2014 We study generalized ϕ‐recurrent (ϵ, δ)‐trans‐Sasakian manifolds. A relation between the associated 1‐forms A and B and relation between characteristic vector field ξ and the vector fields ρ1, ρ2 for a generalized ϕ‐recurrent.
C. S. Bagewadi, Dakshayani A. Patil
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Some New Results on Trans‐Sasakian Manifolds
Journal of Mathematics, Volume 2022, Issue 1, 2022., 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. The above results bring some new characterizations for the property of trans‐Sasakian 3‐manifolds.
Lei Wang, Yan Zhao, Antonio Masiello
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On pseudo-slant submanifolds of trans-Sasakian manifolds; pp. 1–11 [PDF]
Proceedings of the Estonian Academy of Sciences, 2011 The object of the present paper is to study pseudo-slant submanifolds of trans-Sasakian manifolds. Integrability conditions of the distributions on these submanifolds are worked out.
Uday Chand De, Avijit Sarkar
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