Results 41 to 50 of about 1,408 (59)

Calabi flow on projective bundles, I [PDF]

arXiv, 2015
In this paper, we obtain several a-priori estimates for the Calabi flow on projective bundles admitting the generalized Calabi constructions.
arxiv  

Curvature transformation [PDF]

arXiv, 2016
A transformation based on mean curvature is introduced which morphs triangulated surfaces into round spheres.
arxiv  

Deforming a convex hypersurface with low entropy by its Gauss curvature [PDF]

arXiv, 2015
We prove the asymptotic roundness under normalized Gauss curvature flow provided entropy is initially small enough.
arxiv  

Evolution of curves and surfaces by mean curvature [PDF]

Proceedings of the ICM, Beijing 2002, vol. 1, 525--538, 2002
This article describes the mean curvature flow, some of the discoveries that have been made about it, and some unresolved questions.
arxiv  

Eigen-value monotonicity for the Ricci-Hamilton flow [PDF]

arXiv, 2004
This paper has been withdrawn by the author and it is published in ...
arxiv  

The mean curvature flow approach to the symplectic isotopy problem [PDF]

arXiv, 2004
Let $M$ be a K\"ahler-Einstein surface with positive scalar curvature. If the initial surface is sufficiently close to a holomorphic curve, we show that the mean curvature flow has a global solution and it converges to a holomorphic curve.
arxiv  

Positivity of Ricci curvature under the Kähler--Ricci flow [PDF]

arXiv, 2005
For all complex dimensions n>=2, we construct complete Kaehler manifolds of bounded curvature and non-negative Ricci curvature whose Kaehler--Ricci evolutions immediately acquire Ricci curvature of mixed sign.
arxiv  

A note on uniformization of Riemann surfaces by Ricci flow [PDF]

arXiv, 2005
In this note we clarify that the Rcci flow can be used to give an independent proof of the uniformization theorem of Riemann surfaces.
arxiv  

Evolution of Yamabe constant under Ricci flow [PDF]

arXiv, 2006
In this note under a crucial technical assumption we derive a differential equality of the Yamabe constant $\mathcal{Y} (g (t))$ where $g (t)$ is a solution of the Ricci flow on a closed manifold.
arxiv  

Horizontal curves of hyperbolic metrics. [PDF]

Calc Var Partial Differ Equ, 2018
Rupflin M, Topping PM.
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