Gromov-Hausdorff stability of tori under Ricci and integral scalar curvature bounds

Shouhei Honda (Tohoku U)

May 21. 2024, 14:00 — 14:45

In this talk, we provide characterizations on the Gromov-Hausdorff stability to a flat torus from a closed Riemannian manifold with Ricci and integral scalar curvature bounds, in terms of harmonic maps and harmonic $1$-forms. Applications include a new topological stability result to a flat torus. This is a joint work with C. Ketterer, I. Mondello, R. Perales and C. Rigoni.

Further Information
ESI Boltzmann Lecture Hall
Associated Event:
Synthetic Curvature Bounds for Non-Smooth Spaces: Beyond Finite Dimension (Workshop)
Lorenzo Dello Schiavo (ISTA, Klosterneuburg)
Christian Ketterer (ALU Freiburg)
Chiara Rigoni (U of Vienna)