Comparison theorems in centro-affine differential geometry
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：Yasuaki Fujitani (University of Tokyo）
：2026-09-08 10:00
：Conference Room S105 at Experiment Building at Haiyun Campus
Speaker：Yasuaki Fujitani (University of Tokyo）
Time：2026-9-8 10:00
Location：Conference Room S105 at Experiment Building at Haiyun Campus
Abstract:
Milman (J. Eur. Math. Soc., 2025) studied problems in convex geometry via centro-affine differential geometry. In this approach, several affine connections different from the Levi-Civita connection were introduced. In the context of comparison theorems for weighted manifolds, Wylie-Yeroshkin considered an affine connection whose Ricci curvature coincides with the 1-weighted Ricci curvature. In this talk, we observe that one of the affine connections introduced by Milman coincides with a Wylie-Yeroshkin type connection, and discuss rigidity phenomena in related comparison theorems. This talk is based on the following preprint: arXiv:2606.16654.
