Can I read The radial part of Brownian motion with respect to $\mathcal{L}$-distance under Ricci flow on EtoBox?

The radial part of Brownian motion with respect to $\mathcal{L}$-distance under Ricci flow by Cheng, Lijuan is a scholarly article available to read on EtoBox.

What is The radial part of Brownian motion with respect to $\mathcal{L}$-distance under Ricci flow about?

Let $\{g_t\}_{t\in [0,T)}$ be a family of complete time-depending Riemannian matrics on a manifold which evolves under backwards Ricci flow. The It\^{o} formula is established for the $\mathcal{L}$-distance of the $g_t$-Brownian motion to a fixed reference point ($\mathcal{L}$-base). Furthermore, as an application, we construct a coupling by parallel displacement which yields a new proof of some results of Topping.

Author

Cheng, Lijuan

Published

2012

Language

EN