4 problems

A gradient Yamabe soliton is a Riemannian manifold $(M^n,g)$ equipped with a smooth function $F$ and a constant $\lambda\in\mathbb{R}$ satisfying … where $R$ is the scalar curvatur…

Consider singularity models arising from Ricci flows, allowing models that are degenerate and have a singular set of codimension at least $4$. Bamler's conjecture. For any Ricci fl…

Let $(M,g(t))_{t\in[0,T)}$ be a finite-time maximal Ricci flow, and suppose it is Type I, meaning that the curvature satisfies a bound of the form…

Let $(M,g)$ be a gradient shrinking Ricci soliton, and let $mu_s$ denote its logarithmic Sobolev invariant. Rigidity conjecture. If … then the shrinker is isometric to…