Existence of the (α,β)-Ricci-Yamabe flow on closed manifolds
Abstract
On a smooth closed Riemannian manifold, we show short time existence of smooth solutions to the (α,β)-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 (α,β)-Ricci-Yamabe flow by estimating its curvatures.
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