Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1155471 | Stochastic Processes and their Applications | 2015 | 21 Pages |
Abstract
In general, gradient estimates are very important and necessary for deriving convergence results in different geometric flows, and most of them are obtained by analytic methods. In this paper, we will apply a stochastic approach to systematically give gradient estimates for some important geometric quantities under the Ricci flow, the mean curvature flow, the forced mean curvature flow and the Yamabe flow respectively. Our conclusion gives another example that probabilistic tools can be used to simplify proofs for some problems in geometric analysis.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
Xin Chen, Li-Juan Cheng, Jing Mao,