3 papers
math.DG2025
Index estimate by first Betti number of minimal hypersurfaces in compact symmetric spaces
Toru Kajigaya, Keita Kunikawa
We show that the Morse index of unstable closed minimal hypersurface in a compact semi-simple Riemannian symmetric space is bounded from below by constant times the fi…
math.DG2025
Almost splitting and quantitative stratification for super Ricci flow
Keita Kunikawa, Yohei Sakurai
The aim of this paper is to study almost rigidity properties of super Ricci flow whose Muller quantity is non-negative. We conclude almost splitting and quantitative stratification…
math.DG2025
Gaussian heat kernel estimates of Bamler-Zhang type along super Ricci flow
Keita Kunikawa, Yohei Sakurai
Bamler-Zhang have developed geometric analysis on Ricci flow with scalar curvature bound. The aim of this paper is to extend their work to various geometric flows. We generalize so…