Polar foliations on symmetric spaces

报告摘要：

The notion of polar foliations is a generalization of the concept of polar actions on Riemannian manifolds. In space forms, polar foliations coincide with isoparametric foliations. In general Riemannian manifolds, these two notions are different from each other. This talk will focus on polar foliations in simply connected symmetric spaces with nonnegative curvature. I will describe relations between polar foliations and isoparametric submanifolds, a splitting theorem for polar foliations, and uniqueness of minimal regular leaves. This talk is based on a joint work with Marco Radeschi.

个人简介：

北京大学讲席教授，北京数学会理事长，清华大学数学科学系 1983 级系友。曾任美国 University of Notre Dame 教授，获得美国 Sloan 基金会 Research Fellowship，2006 年获邀在马德里召开的国际数学家大会作 45 分钟报告。主要研究领域包括 Gromov-Witten 不变量理论和等参子流形理论。