Results 21 to 30 of about 131 (102)
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 Ï-recurrent, pseudo-projectively flat and ...
Halammanavar G. Nagaraja +2 more
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Characterizing Inequalities for Biwarped Product Submanifolds of Sasakian Space Forms
Mathematical Problems in Engineering, Volume 2021, Issue 1, 2021., 2021 The biwarped product submanifolds generalize the class of product submanifolds and are particular case of multiply warped product submanifolds. The present paper studies the biwarped product submanifolds of the type ST×ψ1S⊥×ψ2Sθ in Sasakian space forms S¯c, where ST, S⊥, and Sθ are the invariant, anti‐invariant, and pointwise slant submanifolds of S¯c.
Meraj Ali Khan +2 more
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Invariant Submanifolds of Trans-Sasakian Manifolds [PDF]
Ukrainian Mathematical Journal, 2016 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bagewadi, C.S., Anitha, B.S.
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On weak symmetries of trans-Sasakian manifolds; pp. 213–223 [PDF]
Proceedings of the Estonian Academy of Sciences, 2009 The present paper deals with weakly symmetric and weakly Ricci symmetric trans-Sasakian manifolds. The existence of weakly Ricci symmetric trans-Sasakian manifolds is ensured by an example.
Absos Ali Shaikh, Shyamal Kumar Hui
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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 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 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
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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
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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