3 citations · 5 across the 6 of their papers we have counts for
6 papers
Static Vacuum Spacetimes with as Attractors of the Ricci-Harmonic Flow
Rasmus Jouttijärvi, Klaus Kroencke, Louis Yudowitz
We prove dynamical stability and instability theorems for asymptotically hyperbolic static solutions of Einstein's equation with , viewed as self-similar solutions of the Ricc…
An Ancient Stacked Pancake Solution to Mean Curvature Flow
Alexander Mramor, Louis Yudowitz
We construct an embedded ancient solution to the mean curvature flow which is qualitatively given by a ``stack'' of two ancient pancakes joined by a neck. Our solution is closed, n…
Semi-Continuity of the Morse Index for Ricci Shrinkers
Louis Yudowitz
We prove lower and upper semi-continuity of the Morse index for sequences of gradient Ricci shrinkers which bubble tree converge in the sense of past work by the author and Buzano.…
Dynamical Stability and Instability of Poincaré--Einstein Manifolds
Klaus Kroencke, Louis Yudowitz
We prove dynamical stability and instability theorems for Poincaré-Einstein metrics under the Ricci flow. Our key tool is a variant of the expander entropy for asymptotically hyper…
Bubble-Tree Convergence and Local Diffeomorphism Finiteness for Gradient Ricci Shrinkers
Reto Buzano, Louis Yudowitz
We prove bubble-tree convergence of sequences of gradient Ricci shrinkers with uniformly bounded entropy and uniform local energy bounds, refining the compactness theory of Haslhof…
Gaussian upper bounds for the heat kernel on evolving manifolds
Reto Buzano, Louis Yudowitz
In this article, we prove a general and rather flexible upper bound for the heat kernel of a weighted heat operator on a closed manifold evolving by an intrinsic geometric flow. Th…