Existence of the $(\alpha,\beta)$-Ricci-Yamabe flow on closed manifolds
Differential Geometry
2023-02-08 v1 Analysis of PDEs
Abstract
On a smooth closed Riemannian manifold, we show short time existence of smooth solutions to the -Ricci-Yamabe flow, which is a natural generalization of the Ricci flow and the Yamabe flow. We also establish some long time existence theorems for the closed -Ricci-Yamabe flow by estimating its curvatures.
Keywords
Cite
@article{arxiv.2302.03199,
title = {Existence of the $(\alpha,\beta)$-Ricci-Yamabe flow on closed manifolds},
author = {Liangdi Zhang},
journal= {arXiv preprint arXiv:2302.03199},
year = {2023}
}