Recent progress on geometric analysis and Riemannian geometry: Rigidity theorems for the area widths of Riemannian manifolds
Presenter
October 21, 2024
Keywords:
- mean curvature flow
- Ricci flow
- fully nonlinear flows
- general relativity
- mass
- Ricci curvature
- scalar curvature
- sectional curvature
- symmetry
- Riemannian geometry
- groups actions
- minimal surfaces
- stability
MSC:
- 35-XX - Partial differential equations
- 49-XX - Calculus of variations and optimal control
- optimization
- 53-XX - Differential geometry
- 58-XX - Global analysis
- analysis on manifolds
- 83-XX - Relativity and gravitational theory
Abstract
In this lecture we discuss rigidity results for the variationally defined widths of the area functional. This is based on joint work with Lucas Ambrozio and Andre Neves.