Results 31 to 40 of about 1,233 (153)
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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Imperfect Fluid Generalized Robertson Walker Spacetime Admitting Ricci‐Yamabe Metric
Advances in Mathematical Physics, Volume 2021, Issue 1, 2021., 2021 In the present paper, we investigate the nature of Ricci‐Yamabe soliton on an imperfect fluid generalized Robertson‐Walker spacetime with a torse‐forming vector field ξ. Furthermore, if the potential vector field ξ of the Ricci‐Yamabe soliton is of the gradient type, the Laplace‐Poisson equation is derived.
Ali H. Alkhaldi +4 more
wiley +1 more source
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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, 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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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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Solitons for the inverse mean curvature flow [PDF]
, 2015 We investigate self-similar solutions to the inverse mean curvature flow in Euclidean space. In the case of one dimensional planar solitons, we explicitly classify all homothetic solitons and translators.
Drugan, Gregory +2 more
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An Introduction to Conformal Ricci Flow [PDF]
, 2003 We introduce a variation of the classical Ricci flow equation that modifies the unit volume constraint of that equation to a scalar curvature constraint.
Anderson M +43 more
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Soliton Trap in Strained Graphene Nanoribbons [PDF]
, 2010 The wavefunction of a massless fermion consists of two chiralities, left-handed and right-handed, which are eigenstates of the chiral operator. The theory of weak interactions of elementally particle physics is not symmetric about the two chiralities ...
Katsunori Wakabayashi +7 more
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On the existence and classification of $k$-Yamabe gradient solitons [PDF]
The Journal of Geometric AnalysisIn this paper we classify rotationally symmetric conformally flat admissible solitons to the $k$-Yamabe flow, a fully non-linear version of the Yamabe flow. For $n\geq 2k$ we prove existence of complete expanding, steady and shrinking solitons and describe their asymptotic behavior at infinity.
Maria Fernanda Espinal, Mariel Sáez
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