<lift:loc locid="stock.discuss"></lift:loc>
A Note on Conformal Ricci Flow
Peng Lu, Jie Qing, Yu Zheng, 2011.09.25
http://arxiv.org/abs/1109.5377
In this note we study conformal Ricci flow introduced by Arthur Fischer. We use DeTurck's trick to rewrite conformal Ricci flow as a strong parabolic-elliptic partial differential equations. Then we prove short time existences for conformal Ricci flow on compact manifolds as well as on asymptotically flat manifolds. We show that Yamabe constant is monotonically increasing along conformal Ricci flow on compact manifolds. We also show that conformal Ricci flow is the gradient flow for the ADM mass on asymptotically flat manifolds.
Discussions
notes
tags
  • Pls. be polite and constructive.
  • You can input La|TeX for math formulas. E.g. $$x = {-b \pm \sqrt{b^2-4ac} \over 2a}$$
  • Any attachment files should still be uploaded to arXiv.org