Riemannian manifolds with non-negative sectional curvature seem to be very special. Indeed, the Bott Conjecture asserts that any such manifold must be rationally elliptic and, under various symmetry assumptions, this has been verified. In this talk, it will be shown that the Bott Conjecture is true in the presence of an isometric slice-maximal torus action. Moreover, rationally- elliptic manifolds admitting a slice-maximal torus action will be classified up to rational homotopy equivalence.
Geometry-Topology Seminar
Thursday, February 25, 2016 - 4:30pm
Martin Kerin
University of Muenster, Germany