Results 41 to 50 of about 1,171 (162)
On Quasi-Sasakian Manifolds [PDF]
, 2019 In this paper we study three-dimensional quasi-Sasakian manifolds admitting the Schoutenvan Kampen connection. Also, we study D-homothetic deformations on three-dimensional quasi-Sasakian manifolds admitting Schouten-van connection and projectively flat ...
Yıldız, Ahmet +3 more
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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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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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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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SLANT SUBMANIFOLDS IN SASAKIAN MANIFOLDS [PDF]
Glasgow Mathematical Journal, 2000 In this paper, we show new results on slant submanifolds of an almost contact metric manifold. We study and characterize slant submanifolds of K-contact and Sasakian manifolds. We also study the special class of three-dimensional slant submanifolds. We give several examples of slant submanifolds.1991 Mathematics Subject Classification 53C15, 53C40.
Cabrerizo, J. L. +3 more
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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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Sasakian manifolds and M-theory [PDF]
, 2016 We extend the link between Einstein Sasakian manifolds and Killing spinors to a class of η -Einstein Sasakian manifolds, both in Riemannian and Lorentzian settings, characterising them in terms of generalised Killing spinors.
José Figueroa-O'Farrill +3 more
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CR-submanifolds of a nearly trans-Sasakian manifold
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
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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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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