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搜索结果: 1-15 共查到数学 Ricci flow相关记录33条 . 查询时间(0.078 秒)
The Ricci flow is a powerful tool in geometry to construct the canonical metric on a given manifold. It can be viewed as a nonlinear heat flow of the Riemannian metric and may develop finite time sing...
In this paper, we first derive a pinching estimate on the traceless Ricci curvature in term of scalar curvature and Weyl tensor under the Ricci ow. Then we apply this estimate to study...
We prove Gaussian type bounds for the fundamental solution of the conjugate heat equation evolving under the Ricci ow. As a consequence, for dimension 4 and higher, we show that the backward ...
In this paper, we study the backward Ricci ow on locally homogeneous 3-manifolds. We describe the long time behavior and show that, typically and after a proper re-scaling, there is converge...
In this paper, we derive a general evolution formula for possible Harnack quantities. As a consequence, we prove several differential Harnack inequalities for positive solutions of backward hea...
In this paper, we prove that the first eigenvalues of −∆ + cR (c ≥ 1 4 ) is nondecreasing under the Ricci ow. We also prove the monotonicity under the normalized Ricci &...
Ricci Flow and the Sphere Theorem》。
We study curvature pinching estimates of Ricci flow on complete 3- dimensional manifolds without bounded curvature assumption. We will derive some general curvature conditions which are preserved on a...
We present two new conditions to extend the Ricci flow on a compact manifold over a finite time, which are improvements of some known extension theorems.
In this note we prove a new \epsilon-regularity theorem for the Ricci flow. Let (M^n,g(t)) with t\in [-T,0] be a Ricci flow and H_{x} the conjugate heat kernel centered at a point (x,0) in the final t...
We consider the hyperbolic geometric flow $\frac{\partial^2 g(t)}{\partial t ^2} = −2Ric_g(t)$ introduced by Kong and Liu [KL]. When the Riemannian metric evolve, then so does its curvature. Usi...
In this paper we investigate a kind of generalized Ricci flow which possesses a gradient form. We study the monotonicity of the given function under the generalized Ricci flow and prove that the relat...
Abstract: We simplify and improve the curvature estimates in the paper: On the conditions to extend Ricci flow(II). Furthermore, we develop some volume estimates for the Ricci flow with bounded scalar...
Abstract: We develop some estimates under the Ricci flow and use these estimates to study the blowup rates of curvatures at singularities. As applications, we obtain some gap theorems: $\displaystyl...
Abstract: We prove a so called $\kappa$ non-inflating property for Ricci flow, which provides an upper bound for volume ratio of geodesic balls over Euclidean ones, under an upper bound for scalar cur...

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