Results 41 to 50 of about 38,409 (231)
Locally conformally flat ancient Ricci flows [PDF]
, 2015 We show that any locally conformally flat ancient solution to the Ricci flow must be rotationally symmetric. As a by-product, we prove that any locally conformally flat Ricci soliton is a gradient soliton in the shrinking and steady cases as well as in ...
Catino, Giovanni +2 more
core +1 more source
Lorentzian Approximations and Gauss–Bonnet Theorem for E(1,1) with the Second Lorentzian Metric
Journal of Mathematics, Volume 2022, Issue 1, 2022., 2022 In this paper, we consider the Lorentzian approximations of rigid motions of the Minkowski plane EL21,1. By using the method of Lorentzian approximations, we define the notions of the intrinsic curvature for regular curves, the intrinsic geodesic curvature of regular curves on Lorentzian surface, and the intrinsic Gaussian curvature of Lorentzian ...
Haiming Liu, Xiawei Chen, Rafael López
wiley +1 more source
Journal of Geometric Analysis, 2011 to appear in J.
Ovidiu Munteanu, Natasa Sesum
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On gradient Ricci solitons with symmetry [PDF]
Proceedings of the American Mathematical Society, 2009 We study gradient Ricci solitons with maximal symmetry. First we show that there are no nontrivial homogeneous gradient Ricci solitons. Thus, the most symmetry one can expect is an isometric cohomogeneity one group action. Many examples of cohomogeneity one gradient solitons have been constructed.
Peter Petersen +2 more
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Geometric classifications of k-almost Ricci solitons admitting paracontact metrices
Open Mathematics, 2023 The prime objective of the approach is to give geometric classifications of kk-almost Ricci solitons associated with paracontact manifolds. Let M2n+1(φ,ξ,η,g){M}^{2n+1}\left(\varphi ,\xi ,\eta ,g) be a paracontact metric manifold, and if a KK-paracontact
Li Yanlin +4 more
doaj +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
Rigidity of gradient Ricci solitons [PDF]
Pacific Journal of Mathematics, 2009 We define a gradient Ricci soliton to be rigid if it is a flat bundle $% N\times_ \mathbb{R}^{k}$ where $N$ is Einstein. It is known that not all gradient solitons are rigid. Here we offer several natural conditions on the curvature that characterize rigid gradient solitons. Other related results on rigidity of Ricci solitons are also explained in the
Petersen, Peter, Wylie, William
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Almost Pseudo Symmetric Kähler Manifolds Admitting Conformal Ricci-Yamabe Metric
International Journal of Analysis and Applications, 2023 The novelty of the paper is to investigate the nature of conformal Ricci-Yamabe soliton on almost pseudo symmetric, almost pseudo Bochner symmetric, almost pseudo Ricci symmetric and almost pseudo Bochner Ricci symmetric Kähler manifolds.
Sunil Kumar Yadav +2 more
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
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On the Almost $\eta-$Ricci Solitons on Pseudosymmetric Lorentz Generalized Sasakian Space Forms
Universal Journal of Mathematics and Applications, 2023 In this paper, we consider Lorentz generalized Sasakian space forms admitting almost $\eta-$Ricci solitons in some curvature tensors. Ricci pseudosymmetry concepts of \ Lorentz generalized Sasakian space forms admitting $\eta-$Ricci soliton have ...
Mehmet Atçeken, Tuğba Mert
doaj +1 more source