Results 151 to 160 of about 9,543 (234)

Ricci flow on a 3-manifold with positive scalar curvature

open access: yes, 2009
In this paper we consider Hamilton's Ricci flow on a 3-manifold with a metric of positive scalar curvature. We establish several a priori estimates for the Ricci flow which we believe are important in understanding possible singularities of the Ricci ...
Qian, Zhongmin, Qian, Z
core   +1 more source

Aspects Of The Ricci Flow [PDF]

open access: yes, 2014
This thesis contains several projects investigating aspects of the Ricci flow (RF), from preserved curvature conditions, Harnack estimates, long-time existence results, to gradient Ricci solitons.
Tran, Hung
core  

Ricci-flow based conformal mapping of the proximal femur to identify exercise loading effects. [PDF]

open access: yesSci Rep, 2018
Narra N   +6 more
europepmc   +1 more source

Mean Curvature Flow with a Neumann Boundary Condition in Flat Spaces [PDF]

open access: yes, 2012
In this thesis I study mean curvature flow in both Euclidean and Minkowski space with a Neumann boundary condition. In Minkowski space I show that for a convex timelike cone boundary condition, with compatible spacelike initial data, mean curvature flow
LAMBERT, BENJAMIN,STEPHEN
core  

Harmonic-hyperbolic geometric flow

open access: yesElectronic Journal of Differential Equations, 2017
In this article we study a coupled system for hyperbolic geometric flow on a closed manifold M, with a harmonic flow map from M to some closed target manifold N. Then we show that this flow has a unique solution for a short-time.
Shahroud Azami
doaj  

Ricci flow with Ricci curvature and volume bounded below

open access: yesMathematische Annalen
We show that a simply-connected closed four-dimensional Ricci flow whose Ricci curvature is uniformly bounded below and whose volume does not approach zero must converge to a $C^{0}$ orbifold at any finite-time singularity, so has an extension through the singularity via orbifold Ricci flow.
openaire   +2 more sources

Ollivier Ricci-flow on weighted graphs

open access: yes
We study the existence of solutions of Ricci flow equations of Ollivier-Lin-Lu-Yau curvature defined on weighted graphs. Our work is motivated by\cite{NLLG} in which the discrete time Ricci flow algorithm has been applied successfully as a discrete ...
Lu, Linyuan   +4 more
core  

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