Conformal Ricci flow on asymptotically hyperbolic manifolds

TL;DR

This paper investigates the short-term existence and curvature estimates of conformal Ricci flow on asymptotically hyperbolic manifolds, contributing to geometric analysis in this specialized setting.

Contribution

It establishes short-time existence results and a local curvature derivative estimate for conformal Ricci flow on asymptotically hyperbolic manifolds.

Findings

Proved short-time existence of conformal Ricci flow.

Established a local Shi's type curvature derivative estimate.

Enhanced understanding of geometric flows on hyperbolic manifolds.

Abstract

In this article we study the short-time existence of conformal Ricci flow on asymptotically hyperbolic manifolds. We also prove a local Shi's type curvature derivative estimate for conformal Ricci flow.