Geometric Analysis and Topology Seminar

Locally Chern homogenous Hermitian manifolds

Speaker: Lei Ni, UCSD

Location: Warren Weaver Hall 512

Videoconference link:

Date: Friday, April 28, 2023, 11 a.m.


Abstract: Ambrose-Singer gave a characterization on when a Riemannian manifold is locally homogenous via the existence of the so called Ambrose-Singer connection. In this talk I shall explain a classification result proved jointly with F. Zheng on Hermitian manifolds when  the Chern connection is Ambrose-Singer. The universal cover of such a manifold is the product of a complex Lie group and Hermitian symmetric spaces. The proof exploits the existence of certain symplectic holomorphic 2-forms and the holonomy systems introduced by J. Simons.