Manifolds with small curvature concentration
In this work, we construct distance like functions with integral hessian bound on manifolds with small curvature concentration and use it to construct Ricci flows on manifolds with possibly unbounded curvature.
Chan, Pak-Yeung +2 more
core
Administración del capital humano y calidad de atención de los colaboradores públicos de la Municipalidad provincial de Bongará,2020 [PDF]
La presente investigación titula Administración del Capital Humano y Calidad de Atención de los Colaboradores Públicos de la Municipalidad provincial de Bongará,2020: tuvo como objetivo general determinar la relación que existe entre la Administración
Perez Medina, Luis Alberto
core
Rigidity and {\epsilon}-regularity theorems of Ricci shrinkers
In this paper, we study the rigidity and {\epsilon}-regularity theorems of Ricci shrinkers. First we prove the rigidity of the asymptotic volume ratio and local volume around a base point of a non-compact Ricci shrinker.
Wang, Jie, Wang, Youde
core
Rigidity of almost Ricci solitons on compact Riemannian manifolds [PDF]
Considering an almost Ricci soliton (ARS) $ \left(N, g, \eta, \kappa \right) $ on a compact Riemannian manifold $ (N, g) $, we use the Ricci curvature in the direction of the potential vector field $ \eta $ to derive necessary and sufficient conditions ...
Mohammed Guediri, Norah Alshehri
core +1 more source
A local singularity analysis for the Ricci flow and its applications to Ricci flows with bounded scalar curvature. [PDF]
Buzano R, Di Matteo G.
europepmc +1 more source
Hyperbolic Ricci solitons on perfect fluid spacetimes [PDF]
In the present paper, we investigate perfect fluid spacetimes and perfect fluid generalized Roberston-Walker spacetimes that contain a torse-forming vector field satisfying almost hyperbolic Ricci solitons.
Abdul Haseeb +3 more
core +1 more source
Matrix Li-Yau-Hamilton estimates under Ricci Flow and parabolic frequency
In this paper we prove matrix Li-Yau-Hamilton estimates for positive solutions to the heat equation and the backward conjugate heat equation, both coupled with the Ricci flow.
Li, Xiaolong, Zhang, Qi S.
core
Stability of piecewise flat Ricci flow in three dimensions [PDF]
For a recently developed piecewise flat approximation of the Ricci flow, numerical instabilities are seen to arise for a particularly useful class of mesh-types.
Rory Conboye
core +2 more sources
Ricci flows which terminate in cones
We prove that a complete solution to the Ricci flow on $M\times [-T, 0)$ which has quadratic curvature decay on some end of $M$ and converges locally smoothly to the end of a cone on that neighborhood as $t\nearrow 0$ must be a gradient shrinking soliton.
Kotschwar, Brett
core
Bakry-Émery curvature sharpness and curvature flow in finite weighted graphs: theory [PDF]
In this sequence of two papers, we introduce a curvature flow on (mixed) weighted graphs which is based on the Bakry-Émery calculus. The flow is described via a time-continuous evolution through the weighting schemes.
Cushing, David +5 more
core +1 more source

