Type: Seminar

Modified: Tue 23 Oct 2012 1135

Distribution: World

Expiry: 5 Nov 2012

Auth: zhangou@bari.maths.usyd.edu.au

Speaker: Dr. Kwok-Kun Kwong (Monash) http://www.maths.monash.edu.au/staff/kkwong.html Time: Tuesday, Oct. 23, 12(NOON)--1PM Room: Carslaw 707A Lunch place: decided right after the talk --------------------------------------------------- Title: On Nearly Schur-Type Theorems Abstract: It is well-known that if the principal curvatures of a surface in the Euclidean space depends on the base point only (i.e. umbilic), then it has constant curvature. Another classical result of Schur states that if the Ricci curvature of a Riemannian manifold depends on the base point only, then its scalar curvature is constant. I will give a unified viewpoint for these types of results and give a quantitative version of these results for closed Riemannian manifolds. --------------------------------------------------- Web site for GTA Seminar is at: http://www.maths.usyd.edu.au/u/SemConf/Geometry/index.html