Results 21 to 30 of about 266 (135)
Journal of Mathematics, Volume 2023, Issue 1, 2023., 2023 This paper focuses on the investigation of semi‐invariant warped product submanifolds of Sasakian space forms endowed with a semisymmetric metric connection. We delve into the study of these submanifolds and derive several fundamental results. Additionally, we explore the practical implications of our findings by applying them to the homology analysis ...
Ibrahim Al-Dayel +3 more
wiley +1 more source
Classical and Quantum Gravity, 2000 We show that every Sasakian manifold in dimension $2k+1$ is locally generated by a free real function of $2k$ variables. This function is a Sasakian analogue of the Kähler potential for Kähler geometry. It is also shown that every locally Sasakian-Einstein manifold in $2k+1$ dimensions is generated by a locally Kähler-Einstein manifold in dimension $2k$
Godliński, Michał +2 more
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Submanifolds of a conformal Sasakian manifold
Boletim da Sociedade Paranaense de Matemática, 2020 In the present paper, some results on geometry of conformal Sasakian manifolds and their associated submanifolds are provided. Besides this an example of a three-dimensional conformal Sasakian manifold is constructed for illustration that is not Sasakian manifold.
Esmaiel Abedi, Mohammad Ilmakchi
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Proceedings of the Japan Academy, Series A, Mathematical Sciences, 1993 Let \((M,g)\) be a Riemannian manifold. If \(\xi\) is a Killing vector field of unit length, \(\eta\) is the 1-form dual to \(\xi\) with respect to \(g\) and \(\Phi\) is the tensor field of type \((1,1)\) defined by \(\Phi= \nabla\xi\), \(\xi\) is said to be a Sasakian structure if the two following conditions are fulfilled: \((\nabla_ X \Phi) (Y ...
Boyer, Charles P. +2 more
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Slant Riemannian submersions from Sasakian manifolds
Arab Journal of Mathematical Sciences, 2016 We introduce and characterize slant Riemannian submersions from Sasakian manifolds onto Riemannian manifolds. We survey main results of slant Riemannian submersions defined on Sasakian manifolds.
I. Küpeli Erken, C. Murathan
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Higgs Bundles on Sasakian Manifolds [PDF]
International Mathematics Research Notices, 2017 We extend the Donaldson-Corlette-Hitchin-Simpson correspondence between Higgs bundles and flat connections on compact Kähler manifolds to compact quasi-regular Sasakian manifolds. A particular consequence is the translation of restrictions on Kähler groups proved using the Donaldson-Corlette-Hitchin-Simpson correspondence to fundamental groups of ...
Biswas, Indranil, Mj, Mahan
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Uniformizations of Compact Sasakian Manifolds
International Mathematics Research Notices, 2023 Abstract We give a criterion for compact Sasakian manifolds to be deformed to Sasakian manifolds, which are locally isomorphic to circle bundles of anti-canonical bundles over Hermitian symmetric spaces as a Sasakian analogue of Simpson’s uniformization results related to variations of Hodge structure and Higgs bundles.
Kasuya, Hisashi, Miyatake, Natsuo
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η-Ricci Solitons on Sasakian 3-Manifolds
Annals of the West University of Timisoara: Mathematics and Computer Science, 2017 In this paper we study η-Ricci solitons on Sasakian 3-manifolds. Among others we prove that an η-Ricci soliton on a Sasakian 3-manifold is an η-Einstien manifold.
Majhi Pradip +2 more
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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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