# Differential Geometry Seminar

Speaker:
James Dibble
Topic:
Collapsing manifolds and $F$-structures

Abstract:
In 1986, Cheeger and Gromov proved that every smooth manifold that admits an $F$-structure of positive rank can collapse with bounded sectional curvature. The two purposes of this talk are to define all of the terms needed to state this result and to sketch the proof that every compact manifold that admits such a structure has vanishing Euler characteristic.

Event Date:
October 15, 2019 - 2:30pm to 3:20pm
Location:
221 MLH
Calendar Category:
Seminar
Seminar Category:
Differential Geometry