Results 21 to 30 of about 5,783 (167)
On Bach-flat gradient shrinking Ricci solitons [PDF]
, 2012 In this paper, we classify n-dimensional (n>3) complete Bach-flat gradient shrinking Ricci solitons. More precisely, we prove that any 4-dimensional Bach-flat gradient shrinking Ricci soliton is either Einstein, or locally conformally flat hence a finite
Cao, Huai-Dong, Chen, Qiang
core +1 more source
Imperfect Fluid Generalized Robertson Walker Spacetime Admitting Ricci-Yamabe Metric
Advances in Mathematical Physics, 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.
Ali H. Alkhaldi +3 more
doaj +1 more source
Almost $\eta-$Ricci Solitons on Pseudosymmetric Lorentz Sasakian Space Forms
Communications in Advanced Mathematical Sciences, 2023 In this paper, we consider pseudosymmetric Lorentz Sasakian space forms admitting almost $\eta-$Ricci solitons in some curvature tensors. Ricci pseudosymmetry concepts of Lorentz Sasakian space forms admits $\eta-$Ricci soliton have introduced according ...
Mehmet Atçeken, Tuğba Mert
doaj +1 more source
On compact Ricci solitons in Finsler geometry [PDF]
, 2015 Ricci solitons on Finsler spaces, previously developed by the present authors, are a generalization of Einstein spaces, which can be considered as a solution to the Ricci flow on compact Finsler manifolds.
Ahmadi, Mohamad Yar, Bidabad, Behroz
core +3 more sources
Results of Hyperbolic Ricci Solitons
Symmetry, 2023 We obtain some properties of a hyperbolic Ricci soliton with certain types of potential vector fields, and we point out some conditions when it reduces to a trivial Ricci soliton. We also study those soliton submanifolds whose vector fields are the tangential components of a concurrent vector field on the ambient manifold, and in particular, we show ...
Adara M. Blaga, Cihan Özgür
openaire +1 more source
Warped product Einstein metrics on homogeneous spaces and homogeneous Ricci solitons [PDF]
, 2013 In this paper we consider connections between Ricci solitons and Einstein metrics on homogeneous spaces. We show that a semi-algebraic Ricci soliton admits an Einstein one-dimensional extension if the soliton derivation can be chosen to be normal.
He, Chenxu +2 more
core +1 more source
Journal of Geometric Analysis, 2011 to appear in J.
Munteanu, Ovidiu, Sesum, Natasa
openaire +3 more sources
A Note on Kahler-Ricci Soliton [PDF]
International Mathematics Research Notices, 2009 In this note we provide a proof of the following: Any compact KRS with positive bisectional curvature is biholomorphic to the complex projective space. As a corollary, we obtain an alternative proof of the Frankel conjecture by using the Kähler-Ricci flow.
Chen, Xiuxiong, Sun, Song, Tian, Gang
openaire +2 more sources
, 2010 We introduce a natural extension of the concept of gradient Ricci soliton: the Ricci almost soliton. We provide existence and rigidity results, we deduce a-priori curvature estimates and isolation phenomena, and we investigate some topological properties.
Alberto +4 more
core +3 more sources
The curvature of gradient Ricci solitons [PDF]
Mathematical Research Letters, 2011 We study integral and pointwise bounds on the curvature of gradient shrinking Ricci solitons. As applications we discuss gap and compactness results for gradient shrinkers.
Munteanu, Ovidiu, Wang, Mu-Tao
openaire +2 more sources