Results 21 to 30 of about 826 (116)
On Three-Dimensional CR Yamabe Solitons [PDF]
The Journal of Geometric Analysis, 2017 In this paper, we investigate the geometry and classification of three-dimensional CR Yamabe solitons. In the compact case, we show that any 3-dimensional CR Yamabe soliton must have constant Tanaka-Webster scalar curvature; we also obtain a classification under the assumption that their potential functions are in the kernel of the CR Paneitz operator.
Cao, Huai-Dong +2 more
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Geometry of Indefinite Kenmotsu Manifolds as *η-Ricci-Yamabe Solitons
Axioms, 2022 In this paper, we study the properties of ϵ-Kenmotsu manifolds if its metrics are *η-Ricci-Yamabe solitons. It is proven that an ϵ-Kenmotsu manifold endowed with a *η-Ricci-Yamabe soliton is η-Einstein. The necessary conditions for an ϵ-Kenmotsu manifold,
Abdul Haseeb +3 more
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Conformal Yamabe soliton and * -Yamabe soliton with torse forming potential vector field
, 2021 The goal of this paper is to study conformal Yamabe soliton and $*$-Yamabe soliton, whose potential vector field is torse forming. Here, we have characterized conformal Yamabe soliton admitting potential vector field as torse forming with respect to Riemannian connection, semi-symmetric metric connection and projective semi-symmetric connection on ...
Roy, Soumendu +2 more
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Yamabe solitons in contact geometry
New Zealand Journal of Mathematics, 2023 It is shown that the scalar curvature of a Yamabe soliton as a Sasakian manifold is constant and the soliton vector field is Killing. The same conclusion is shown to hold for a Yamabe soliton as a $K$-contact manifold $M^{2n+1}$ if any one of the following conditions hold: (i) its scalar curvature is constant along the soliton vector field $V$, (ii) $V$
Poddar, Rahul +2 more
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Characterization of Almost Yamabe Solitons and Gradient Almost Yamabe Solitons with Conformal Vector Fields [PDF]
Symmetry, 2021 In this paper, some sufficient conditions of almost Yamabe solitons are established, such that the solitons are Yamabe metrics, by which we mean metrics of constant scalar curvature. This is achieved by imposing fewer topological constraints. The properties of the conformal vector fields are exploited for the purpose of establishing various necessary ...
Ali H. Alkhaldi +3 more
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On warped product gradient Yamabe solitons [PDF]
Journal of Mathematical Analysis and Applications, 2019 14 pages, 1 ...
W. Tokura +3 more
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Integral pinched shrinking Ricci solitons [PDF]
, 2015 We prove that a $n$-dimensional, $4 \leq n \leq 6$, compact gradient shrinking Ricci soliton satisfying a $L^{n/2}$-pinching condition is isometric to a quotient of the round $\mathbb{S}^{n}$.
Catino, Giovanni
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Advances in Geometry, 2017 Abstract In this paper we study an extension of Yamabe solitons for inequalities. We show that a Riemannian complete non-compact shrinking Yamabe soliton (M, g, V, λ) has finite fundamental group, provided that the scalar curvature is strictly bounded above by λ.
Bidabad, B., Ahmadi, M. Yar
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On the problem of prescribing weighted scalar curvature and the weighted Yamabe flow
Analysis and Geometry in Metric Spaces, 2023 The weighted Yamabe problem introduced by Case is the generalization of the Gagliardo-Nirenberg inequalities to smooth metric measure spaces. More precisely, given a smooth metric measure space (M,g,e−ϕdVg,m)\left(M,g,{e}^{-\phi }{\rm{d}}{V}_{g},m), the ...
Ho Pak Tung, Shin Jinwoo
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, 2015 Cotton flow tends to evolve a given initial metric on a three manifold to a conformally flat one. Here we expound upon the earlier work on Cotton flow and study the linearized version of it around a generic initial metric by employing a modified form of ...
Dengiz, Suat +2 more
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