Journal ArticleDOI
Almost quasi-Yamabe solitons on almost cosymplectic manifolds
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In this article, it was shown that an almost cosymplectic manifold admits almost quasi-Yamabe solitons (g,V,m,λ) and is locally isomorphic to a Lie manifold.Abstract:
In this paper, we study almost cosymplectic manifolds admitting almost quasi-Yamabe solitons (g,V,m,λ). First, we prove that an almost cosymplectic (κ,μ)-manifold is locally isomorphic to a Lie gro...read more
Citations
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Almost Kenmotsu $$(k,\mu )'$$ ( k , μ ) ′ -manifolds with Yamabe solitons
TL;DR: In this article, it was shown that if the metric g represents a Yamabe soliton, then it is locally isometric to the product space and the contact transformation is a strict infinitesimal contact transformation.
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Almost quasi-Yamabe solitons and gradient almost quasi-yamabe solitons in paracontact geometry
Krishnendu De,Uday Chand De +1 more
TL;DR: In this paper, the authors investigated the almost quasi-Yamabe soliton and gradient almost quasi Yamabe solitons under the framework of three-dimensional normal almost paracontact metr...
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$$\delta $$ δ -Almost Yamabe Solitons in Paracontact Metric Manifolds
Krishnendu De,Uday Chand De +1 more
TL;DR: In this article, the authors characterize paracontact metric manifolds conceding almost Yamabe solitons and establish a few fascinating results of such soliton. But these results are restricted to N(k, ε)-parAContact manifolds.
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Riemann solitons on almost co-Kähler manifolds
TL;DR: In this article , it was shown that if the metric of an almost co-K?hler manifold is a Riemann soliton with the soliton vector field, then the manifold is flat.
k-ALMOST YAMABE SOLITONS ON KENMOTSU MANIFOLDS
Krishnendu De,Uday Chand De +1 more
TL;DR: In this article, the authors investigated k-almost Yamabe solitons in the setting of threedimensional Kenmotsu manifolds and showed that they can be solved by gradient-k-almost-Yamabe solITons.
References
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Book
Riemannian Geometry of Contact and Symplectic Manifolds
TL;DR: In this article, the authors describe a complex geometry model of Symplectic Manifolds with principal S1-bundles and Tangent Sphere Bundles, as well as a negative Xi-sectional Curvature.
Book
Hamilton's Ricci Flow
Bennett Chow,Peng Lu,Lei Ni +2 more
TL;DR: Riemannian geometry and singularity analysis of Ricci flow have been studied in this paper, where Ricci solitons and special solutions have been used for geometric flows.
Journal ArticleDOI
A class of almost contact riemannian manifolds
TL;DR: In this article, Tanno has classified connected almost contact Riemannian manifolds whose automorphism groups have themaximum dimension into three classes: (1) homogeneous normal contact manifolds with constant 0-holomorphic sec-tional curvature if the sectional curvature for 2-planes which contain
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Integrability of almost cosymplectic structures
Samuel I. Goldberg,Kentaro Yano +1 more
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Generalized quasi-Einstein manifolds with harmonic Weyl tensor
TL;DR: In this paper, a generalized quasi-Einstein manifold with harmonic Weyl tensor and zero radial Weyl curvature is shown to be a warped product with (n − 1)-dimensional Einstein fibers.