3 papers
math.DG2026
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…
math.DG2026
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 Ric…
math.DG2025
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.…