COSAM » Events » 2015 » September » Linear Algebra Seminar

Linear Algebra Seminar
Time: Sep 15, 2015 (04:00 PM)
Location: Parker Hall 224


Speaker: Ming-Cheng Tsai

Title:  Preserving problems of geodesic-affine maps and related topics on positive definite matrices

Abstract:   Based on affine maps in geometry, we study the geodesic-affine maps on Riemannian manifolds P_n of complex positive definite matrices that are induced by different so-called kernel functions. In this talk, we are going to describe the structure of all continuous bijective  geodesic-affine maps on these manifolds. We also show that geodesic distance isometries are geodesic-affine maps.  Moreover, the forms of all bijective maps which preserve norms of geodesic correspondence are characterized. Indeed, these maps are special examples of geodesic-affine maps.

Last updated: 09/16/2015