Author

G. Catino

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Preprint Sep 2026

Short-time existence for the Schouten flow

Let $(M^n,g_0)$ be a closed smooth Riemannian manifold, with $n\geqslant 3$. We prove short--time existence and uniqueness for the"critical"{\em Ricci--Bourguignon flow} \begin{equation} \partial_t g=-2\operatorname{Ric}_g+\frac{R_g}{n-1}g\,. \end{equation} Up to a constant rescaling of time, this is the {\em Schouten...

G. Catino, Carlo Mantegazza · 0 citations