Curvature and (contact) topology

Research Horizons Seminar
Wednesday, October 31, 2012 - 12:05
1 hour (actually 50 minutes)
Skiles 005
Georgia Tech, School of Math
Contact geometry is a beautiful subject that has important interactions with topology in dimension three. In this talk I will give a brief introduction to contact geometry and discuss its interactions with Riemannian geometry. In particular I will discuss a contact geometry analog of the famous sphere theorem and more generally indicate how the curvature of a Riemannian metric can influence properties of a contact structure adapted to it.