Pseudo-Hermitian Geometry in 3-D

MEMBERS SEMINAR
Topic:Pseudo-Hermitian Geometry in 3-D
Speaker:Paul Yang
Affiliation:Princeton University and Member, School of Mathematics
Date:Monday, February 2
Time/Room:2:00pm - 3:00pm/S-101

A pseudo-hermitian structure in 3-D is a contact form and an almost complex structure on the kernel of the contact form. There is a natural notion of area and mean curvature for a surface in such a geometry. I will discuss some work on the structure of the mean curvature equation, as well as some isoperimetric inequality for this geometry.