Speaker：Tianze Hao (Beijing International Center for Mathematical Research)

Time：2025-9-22 14:30

Location：Conference Room S106 at Experiment Building at Haiyun Campus

Abstract:

Llarull theorem shows there is no greater metric than the standard metric on S^n with larger scalar curvature. Gromov mentioned that if there are the similar results on the product space of manifolds with positive curvature and R^n or other space forms. In this talk, without assumption that manifolds being spin, we discuss about such results for S^3 × R^{n-3} and the phenomenon is quite different when n = 4 and n ≥ 5. Our results imply the epsilon-gap length extremality of the standard S^3 is stable under the Riemannian production with R^m (1 ≤ m ≤ 4). The talk is based on the joint work with Prof. Yuguang Shi and Yukai Sun.