Results 71 to 80 of about 420 (130)
Gradient Kahler Ricci solitons
, 2008 Some observations about the local and global generality of gradient Kahler Ricci solitons are made, including the existence of a canonically associated holomorphic volume form and vector field, the local generality of solutions with a prescribed ...
Bryant, RL
core
Boltzmann's Entropy and Kähler-Ricci Solitons
, 2016 We study a Boltzmann's type entropy functional (which appeared in existing literature) defined on Kähler metrics of a fixed Kähler class. The critical points of this functional are gradient Kähler-Ricci solitons, and the functional was known to be ...
Fong, Tsz Ho
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Classification of Gradient Ricci solitons with harmonic Weyl curvature
, 2023 We make classifications of gradient Ricci solitons $(M, g, f)$ with harmonic Weyl curvature. As a local classification, we prove that the soliton metric $g$ is locally isometric to one of the following four types: an Einstein manifold, the Riemannian ...
Kim, Jongsu
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Remarks on non-compact gradient Ricci solitons
, 2011 In this paper we show how techniques coming from stochastic analysis, such as stochastic completeness (in the form of the weak maximum principle at infinity), parabolicity and Lp -Liouville type results for the weighted Laplacian associated to the ...
Rimoldi M. +4 more
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RICCI SOLITONS IN $\alfa$ COSYMPLECTIC MANIFOLDS
, 2018 The object of the present paper is to study Ricci solitons in \alfacosymplectic manifolds. Projective, pseudo projective and Weyl conformal curvature in an \alfa cosymplectic manifolds admitting Ricci solitons have been studied under certain curvature ...
Singh, Jay Prakash +1 more
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Rigidity of Complete Gradient Steady Ricci Solitons with Harmonic Weyl Curvature
, 2023 Our main aim in this paper is to investigate the rigidity of complete noncompact gradient steady Ricci solitons with harmonic Weyl tensor. More precisely, we prove that an $n$-dimensional ($n\geq 5$) complete noncompact gradient steady Ricci soliton with
Li, Fengjiang
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Gradient Kahler Ricci Solitons
, 2004 Some observations about the local and global generality of gradient Kahler Ricci solitons are made, including the existence of a canonically associated holomorphic volume form and vector field, the local generality of solutions with a prescribed holomorphic volume form and vector field, and the existence of Poincare coordinates in the case that the ...
openaire +2 more sources
Siklos spacetimes as homogeneous Ricci solitons
, 2019 We consider a well-known class of homogeneous solutions of the Einstein–Maxwell equations found by Siklos and prove that all these spacetimes are nontrivial Ricci solitons.
Calvaruso G.
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