"Wintgen ideal submanifolds: reduction theorem and some interesting examples"

Abstract: Wintgen ideal submanifolds in space forms are those ones attaining the equality pointwise in the so-called DDVV inequality which relates to the scalar curvature, the mean curvature and the scalar normal curvature and is universal for any submanifolds in space forms. In this talk, I will present some results we have gotten on Wintgen ideal submanifolds, including the reduction theorem, the classification of those homogenous ones and their relation with the harmonic sequence of Riemannian surfaces.

Host: Yanli Song