Event Detail

Event Type: 
Department Colloquium
Date/Time: 
Monday, September 30, 2013 - 09:00 to 10:00
Location: 
Kidder 350

Speaker Info

Institution: 
University of Oklahoma
Abstract: 

Given a Lie group G and compact subgroup K, we may consider the homogeneous space G/K and endow it with a G-invariant Riemannian metric.  Among all the choices of G-invariant metrics, is there a most natural or best choice of metric on G/K?
    We will investigate this classical question by looking for metrics with nice curvature conditions and those with a large amount of symmetry (even more than just being homogeneous).  All the ideas will be motivated by examples and the talk will be accessible to graduate students.