Minimal submanifolds and lower curvature bounds I
Presenter
January 21, 2016
Keywords:
- differential geometry
- Riemannian geometry
- modern geometry
- curvature
- curvature estimates
- Ricci curvature
- Ricci curvature lower bounds
- minimal submanifold
- second variation
MSC:
- 53-XX
- 53CXX
- 53C21
- 53C44
Abstract
In these lectures we will discuss the role that minimal submanifolds play in the study of lower curvature bounds. The first lecture will be an introduction to the theory including existence theory and the geometry of the second variation. The second lecture will be a survey of applications especially to lower scalar and isotropic curvature bounds.