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Arbeitsgruppe Differentialgeometrie

Kollegiengebäude Mathematik (20.30)
Zimmer 1.003
Ute Peters

Institut für Algebra und Geometrie
Englerstr. 2
76131 Karlsruhe

Mo-Fr 09:00-15:00
Für Studierende:
Mo-Fr 09:15-11:15

Tel.: 0721 608 43943

Fax.: 0721 608 46909

AG Differentialgeometrie (Sommersemester 2014)

Dozent: 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)
Email: tuschmann@kit.edu

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.