AG Differentialgeometrie (Summer Semester 2014)
- Lecturer: Prof. Dr. Wilderich Tuschmann
- Classes: Seminar (0176100)
- Weekly hours: 2
|Seminar:||Wednesday 11:30-13:00||Z 2|
|Lecturer||Prof. Dr. Wilderich Tuschmann|
|Office hours: by appointment|
|Room 1.002 Kollegiengebäude Mathematik (20.30)|
12.8.2014, 16:00 - 17:00
Speaker: Francisco Gozzi (IMPA, Brazil)
Title: Low Dimensional Polar Actions.
Abstract: Polar manifolds are Riemannian G-manifolds admitting a "section", i.e., a complete submanifold passing through every orbit and doing so orthogonally. When M is simply-connected and G is connected, it is possible to construct a fundamental domain of the action inside this section which together with certain isotropy group data gives enough information to reconstruct the action (up to equivariant diffeomorphism). In this talk I will discuss the classification of compact simply-connected polar manifolds of dimensions 5 or less, among which the most important case is that of T² actions. If time permits, we will show as an application how to determine which of these actions admit an invariant metric with non-negative curvature.