Results 21 to 30 of about 125 (105)
On geometry of warped product semi invariant submanifolds of nearly (ε, δ)-trans sasakian manifold with a certain connection [PDF]
Journal of Hyperstructures, 2023 In this paper, we study the geometry of warped product semi invariant submanifold of a nearly (ε, δ)-trans-Sasakianmanifold M with a quarter symmetric non metric connection. We see that warped product of the typeE⊥×yET is a usual Riemannian product of E⊥
Shamsur Rahman +2 more
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On contact conformal curvature tensor in trans-Sasakian manifolds
Bibechana, 2014 The purpose of this paper is to study some results on contact conformal curvature tensor in trans-Sasakian manifolds. Contact conformally flat trans-Sasakian manifold, ζ-contact conformally flat trans-Sasakian manifold and curvature conditions C0(ζ.X).S
Riddhi Jung Shah
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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 Lorentzian Trans-Sasakian manifolds
Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics, 2013 The object of the present paper is to study the Trans-Sasakianstructure on a manifold with Lorentzian metric. Several interesting results areobtained on the manifold. Also conformally *at Lorentzian Trans-Sasakianmanifolds have been studied. Next, in three- dimensional Lorentzian TransSasakian manifolds, explicit formulae for Ricci operator, Ricci ...
DE, U.c., DE, Krishnendu
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Kählerian Manifold on the Product of Two Trans-Sasakian Manifolds
International Electronic Journal of Geometry, 2020 It's shown that for some changes of metrics and structural tensors, the product of two Trans-Sasakian manifolds is a K\"{a}hlerian manifold. This gives a new positive answer and more generally to Blair-Oubi$\tilde{n}$a's open question (see [7] and [17]). Concrete examples are given.
Bouzir Habib, Beldjılalı Gherici
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On the Geometry of the Riemannian Curvature Tensor of Nearly Trans-Sasakian Manifolds
Axioms, 2023 This paper presents the results of fundamental research into the geometry of the Riemannian curvature tensor of nearly trans-Sasakian manifolds. The components of the Riemannian curvature tensor on the space of the associated G-structure are counted, and
Aligadzhi R. Rustanov
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ON GENERALIZED RICCI-RECURRENT TRANS-SASAKIAN MANIFOLDS [PDF]
Journal of the Korean Mathematical Society, 2002 A Riemannian manifold \((M,g)\) is called generalized Ricci-recurrent if there exist \(1\)-forms \(A\) and \(B\) such that its Ricci tensor satisfies \(\nabla_X \text{Ric}(Y,Z)= A(X) \text{Ric}(Y,Z)+B(X)g(Y,Z)\). The authors study generalized Ricci-recurrent manifolds which are in addition trans-Sasakian, and give a local classification of these in ...
Kim, Jeong-Sik +2 more
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Characterizations of Trivial Ricci Solitons
Advances in Mathematical Physics, Volume 2020, Issue 1, 2020., 2020 Finding characterizations of trivial solitons is an important problem in geometry of Ricci solitons. In this paper, we find several characterizations of a trivial Ricci soliton. First, on a complete shrinking Ricci soliton, we show that the scalar curvature satisfying a certain inequality gives a characterization of a trivial Ricci soliton. Then, it is
Sharief Deshmukh +3 more
wiley +1 more source
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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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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