AG Differentialgeometrie (Sommersemester 2014)
- Dozent*in: Prof. Dr. Wilderich Tuschmann (Sprecher des Institutes)
- Veranstaltungen: Seminar (0176100)
- Semesterwochenstunden: 2
|Seminar:||Mittwoch 11:30-13:00||Z 2|
|Seminarleitung||Prof. Dr. Wilderich Tuschmann (Sprecher des Institutes)|
|Sprechstunde: derzeit nur nach vorheriger Vereinbarung per E-Mail|
|Zimmer 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.