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On Compact Trans-Sasakian Manifolds
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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Some Conditions on Trans-Sasakian Manifolds to Be Homothetic to Sasakian Manifolds
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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Indefinite Almost Paracontact Metric Manifolds [PDF]
International Journal of Mathematics and Mathematical Sciences, 2010 We introduce the concept of (ε)-almost paracontact manifolds, and in particular, of (ε)-para-Sasakian manifolds. Several examples are presented. Some typical identities for curvature tensor and Ricci tensor of (ε)-para Sasakian manifolds are obtained. We
Mukut Mani Tripathi +3 more
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On Lightlike Geometry of Para-Sasakian Manifolds [PDF]
The Scientific World Journal, 2014 We study lightlike hypersurfaces of para-Sasakian manifolds tangent to the characteristic vector field. In particular, we define invariant lightlike hypersurfaces and screen semi-invariant lightlike hypersurfaces, respectively, and give examples ...
Bilal Eftal Acet +2 more
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The local moduli of Sasakian 3-manifolds [PDF]
International Journal of Mathematics and Mathematical Sciences, 2002 The Newman-Penrose-Perjes formalism is applied to Sasakian 3-manifolds and the local form of the metric and contact structure is presented. The local moduli space can be parameterised by a single function of two variables and it is shown that, given ...
Brendan S. Guilfoyle
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Quarter-symmetric metric connection in a P-Sasakian manifold
Annals of the West University of Timisoara: Mathematics and Computer Science, 2015 In this paper, we consider a quarter-symmetric metric connection in a P-Sasakian manifold. We investigate the curvature tensor and the Ricci tensor of a P-Sasakian manifold with respect to the quarter-symmetric metric connection.
Mandal Krishanu, De Uday Chand
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On pseudo-projective curvature tensor of sasakian manifold admitting zamkovoy connection [PDF]
Journal of Hyperstructures, 2021 The purpose of the present paper is to study some properties of Sasakian manifolds with respect to Zamkovoy connection. Here, we study pseudo-projectively flat, quasi-pseudoprojectively flat and φ-pseudo-projectively flat Sasakian manifolds admitting ...
Abhijit Mandal, Ashoke Das
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On complex Sasakian manifolds [PDF]
Afrika Matematika, 2020 In this article we study a class of normal{\theta}complex{\theta}contact{\theta}metric{\theta}manifold which is called a complex Sasakian manifold. This kind of manifold has a globally defined complex contact form and normal complex contact structure. We give the definition of a complex Sasakian manifold by consider the real case and we present general
Aysel Turgut Vanlı +2 more
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Geometry of Harmonic Nearly Trans-Sasakian Manifolds
Axioms, 2023 This paper considers a class of nearly trans-Sasakian manifolds. The local structure of nearly trans-Sasakian structures with a closed contact form and a closed Lee form is obtained.
Aligadzhi R. Rustanov
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Surveys in Differential Geometry, 2001 59 pages, to appear in Essays on Einstein Manifolds, M. Wang and C.
Galicki, K., Boyer, C.
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