Isoperimetric Problem- From Classical to Reverse I

Explore the fascinating world of isoperimetric problems in this 53-minute lecture by Kateryna Tatarko from the Hausdorff Center for Mathematics. Delve into the classical isoperimetric problem, which states that the Euclidean ball has the largest volume among all convex bodies in Rn with a fixed surface area. Investigate the reverse of this result for convex bodies with curvature bounded below by a positive constant at each point of their boundary. Learn about the challenge of minimizing volume within this class of convex bodies and discover the solution for the three-dimensional case in R3. Gain insights into advanced mathematical concepts and their applications in geometry and optimization.