A new example with positive sectional curvature

A new example with positive sectional curvature

-
Wolfgang Ziller, University of Pennsylvania
Fine Hall 314

I will discuss the construction of a new example with positive sectional curvature on a 7-dimensional manifold homeomorphic to the unit tangent bundle of the 4-sphere. The metric is of Kaluza Klein type on an orbifold principle bundle over the 4-sphere and is closely related to the geometry of self dual Einstein and 3- Sasakian metrics.