Brunn-Minkowski Inequalities for Sprays on Riemannian Surfaces
Offered By: Hausdorff Center for Mathematics via YouTube
Course Description
Overview
Explore a 24-minute lecture on generalizing the Minkowski average of two subsets in Riemannian manifolds, replacing geodesics with arbitrary families of parametrized curves. Delve into the characterization of curve families on Riemannian surfaces that satisfy Brunn-Minkowski inequalities for given volume forms. Examine the conditions under which constant-speed curves on Riemannian surfaces fulfill Brunn-Minkowski with respect to the Riemannian area form, focusing on the relationship between geodesic curvature, Gauss curvature, and a specific inequality involving these elements.
Syllabus
Rotem Assouline: Brunn-Minkowski inequalities for sprays on surfaces
Taught by
Hausdorff Center for Mathematics
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