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Brunn-Minkowski Inequalities for Sprays on Riemannian Surfaces

Offered By: Hausdorff Center for Mathematics via YouTube

Tags

Riemannian Geometry Courses Differential Geometry Courses Geodesics Courses Riemannian Manifolds Courses

Course Description

Overview

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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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