# Evolution of Yamabe constant under Ricci flow

Research paper by Shu-Cheng Chang, Peng Lu

Indexed on: 25 Apr '06Published on: 25 Apr '06Published in: Mathematics - Differential Geometry

#### Abstract

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.