Results 41 to 50 of about 125 (105)
Certain Results on Ricci Solitons in α‐Sasakian Manifolds
Geometry, Volume 2013, Issue 1, 2013., 2013 We study Ricci solitons in α‐Sasakian manifolds and show that it is a shrinking or expanding soliton and the manifold is Einstein with Killing vector field. Further, we prove that if V is conformal Killilng vector field, then the Ricci soliton in 3‐dimensional α‐Sasakian manifolds is shrinking or expanding but cannot be steady.
S. R. Ashoka +3 more
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Ricci Solitons in (ε,δ)-Trans-Sasakian Manifolds
International Journal of Analysis and Applications, 2017 We study Ricci solitons in (ε,δ)-trans-Sasakian manifolds. It is shown that a symmetric parallel second order covariant tensor in a (ε,δ)-trans-Sasakian manifold is a constant multiple of the metric tensor.
C.S. Bagewadi, Gurupadavva Ingalahalli
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CR‐Submanifolds of Generalized f.p.k.‐Space Forms
Geometry, Volume 2013, Issue 1, 2013., 2013 We study sectional curvature, Ricci tensor, and scalar curvature of submanifolds of generalized f.p.k.‐space forms. Then we give an upper bound for foliate ξα‐horizontal (and vertical) CR‐submanifold of a generalized f.p.k.‐space form and an upper bound for minimal ξα‐horizontal (and vertical) CR‐submanifold of a generalized f.p.k.‐space form. Finally,
Mahmood Jaafari Matehkolaee +1 more
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η-Ricci Solitons on 3-dimensional Trans-Sasakian Manifolds
Cubo, 2020 In this paper, we study \( \eta \)-Ricci solitons on 3-dimensional trans-Sasakian manifolds. Firstly we give conditions for the existence of these geometric structures and then observe that they provide examples of \( \eta \)-Einstein manifolds.
Sampa Pahan
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Kathmandu University Journal of Science, Engineering and Technology, 1970 In this paper we study the geometry of trans-Sasakian manifold when it is projective Ricci-semi-symmetric, pseudo-projectively flat and pseudo-projectively semi-symmetric.
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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. It is proved that the class of nearly trans-Sasakian manifolds with a closed contact form and a closed Lee form coincides with the class of almost contact metric manifolds
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On the geometry of nearly trans-Sasakian manifolds
Turkish Journal of Mathematics, 2023 The geometry of nearly trans-Sasakian manifolds is researched in this paper. The complete group of structural equations and the components of the Lee vector on the space of the associated $G$-structure are obtained for such manifolds. Conditions are found under which a nearly trans-Sasakian structure is a trans-Sasakian, a cosymplectic, a closely ...
Rustanov, Aligadzhi R. +2 more
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Geometric Classifications of Perfect Fluid Space‐Time Admit Conformal Ricci‐Bourguignon Solitons
Journal of Mathematics, Volume 2024, Issue 1, 2024.This paper is dedicated to the study of the geometric composition of a perfect fluid space‐time with a conformal Ricci‐Bourguignon soliton, which is the extended version of the soliton to the Ricci‐Bourguignon flow. Here, we have delineated the conditions for conformal Ricci‐Bourguignon soliton to be expanding, steady, or shrinking.
Noura Alhouiti +6 more
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Some Classes of Pseudosymmetric Contact Metric 3‐Manifolds
International Scholarly Research Notices, Volume 2012, Issue 1, 2012., 2012 We study (a) the class of 3‐dimensional pseudosymmetric contact metric manifolds with harmonic curvature and Trl constant along the direction of ξ and (b) the class of (κ, μ, ν)‐contact metric pseudosymmetric 3‐manifolds of type constant in the direction of ξ.
Evaggelia Moutafi +2 more
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On the Conharmonic Curvature Tensor of Generalized Sasakian‐Space‐Forms
International Scholarly Research Notices, Volume 2012, Issue 1, 2012., 2012 The object of the present paper is to characterize generalized Sasakian‐space‐forms satisfying certain curvature conditions on conharmonic curvature tensor. In this paper we study conharmonically semisymmetric, conharmonically flat, ξ‐conharmonically flat, and conharmonically recurrent generalized Sasakian‐space‐forms.
U. C. De +4 more
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