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arXiv · 2302.03199

Existence of the $(\alpha,\beta)$-Ricci-Yamabe flow on closed manifolds

Liangdi Zhang
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Abstract

On a smooth closed Riemannian manifold, we show short time existence of smooth solutions to the $(\alpha,\beta)$-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 $(\alpha,\beta)$-Ricci-Yamabe flow by estimating its curvatures.

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Liangdi Zhang. 2023-02-07. Existence of the $(\alpha,\beta)$-Ricci-Yamabe flow on closed manifolds. https://arxiv.org/abs/2302.03199

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