Results 101 to 110 of about 387 (181)
Inhomogeneous deformations of Einstein solvmanifolds
Journal of the London Mathematical Society, Volume 109, Issue 5, May 2024.Abstract For each non‐flat, unimodular Ricci soliton solvmanifold (S0,g0)$(\mathsf {S}_0,g_0)$, we construct a one‐parameter family of complete, expanding, gradient Ricci solitons that admit a cohomogeneity one isometric action by S0$\mathsf {S}_0$. The orbits of this action are hypersurfaces homothetic to (S0,g0)$(\mathsf {S}_0,g_0)$.
Adam Thompson
wiley +1 more source
About rigidity of gradient almost Ricci Soliton
, 2017 Coordenação de Aperfeiçoamento de Pessoal de Nível Superior - CAPESThis work is based on [1] and aims to show a result of rigidity for gradient almost Ricci soliton. We will prove that an almost Ricci soliton gradient with nonnegative scalar curvature,
Gomes, Maria Francisca de Sousa
core
O(2)-symmetry of 3D steady gradient Ricci solitons
, 2023 For any 3D steady gradient Ricci soliton with positive curvature, we prove that it must be isometric to the Bryant soliton if it is asymptotic to a ray. Otherwise, it is asymptotic to a sector and hence a flying wing. We show that all 3D flying wings are
Lai, Yi
core +1 more source
Constrained deformations of positive scalar curvature metrics, II
Communications on Pure and Applied Mathematics, Volume 77, Issue 1, Page 795-862, January 2024.Abstract We prove that various spaces of constrained positive scalar curvature metrics on compact three‐manifolds with boundary, when not empty, are contractible. The constraints we mostly focus on are given in terms of local conditions on the mean curvature of the boundary, and our treatment includes both the mean‐convex and the minimal case.
Alessandro Carlotto, Chao Li
wiley +1 more source
Gradient pseudo‐Ricci solitons of real hypersurfaces
Mathematische Nachrichten, 2023 AbstractLet M be a real hypersurface of a complex space form , . Suppose that the structure vector field ξ of M is an eigen vector field of the Ricci tensor S, , β being a function. We study on M, a gradient pseudo‐Ricci soliton () that is an extended concept of gradient Ricci soliton, closely related to pseudo‐Einstein real hypersurfaces.
openaire +3 more sources
Modified Ricci flow on a principal bundle
, 2008 textLet M be a Riemannian manifold with metric g, and let P be a principal G-bundle over M having connection one-form a. One can define a modified version of the Ricci flow on P by fixing the size of the fiber.
Young, Andrea Nicole, 1979-
core +1 more source
The 3-dimensional steady gradient Ricci soliton [PDF]
, 2008 In the first three chapters, we study the steady gradient soliton, especially the 3-dimensional soliton with positive sectional curvatures and which is k-noncollapsed on all scales.
Guo, Hongxin
core
Ricci almost solitons and gradient Ricci almost solitons in $(k,\mu)$-paracontact geometry
, 2017 The purpose of this paper is to study Ricci almost soliton and gradient Ricci almost soliton in $(k,\mu)$-paracontact metric manifolds. We prove the non-existence of Ricci almost soliton in a $(k,\mu)$-paracontact metric manifold $M$ with $k<-1$ or $k&
Uday Chand De, Krishanu Mandal
core +1 more source
Bach-flat gradient steady Ricci solitons
, 2011 In this paper we prove that any $n$-dimensional ($n\ge 4$) complete Bach-flat gradient steady Ricci soliton with positive Ricci curvature is isometric to the Bryant soliton.
Chen, Qiang +4 more
core +1 more source
Riemann Solitons and Ricci Bi-Conformal Vector Fields on 4-Dimensional Oscillator Group
MathematicsWe consider Riemann soliton vector fields and Ricci bi-conformal vector fields on the oscillator group. We prove that the oscillator group admits Riemann solitons. Subsequently, we provide a complete classification of all Ricci bi-conformal vector fields
Bang-Yen Chen +3 more
doaj +1 more source