Umbilicity and characterization of Pansu spheres in the Heisenberg group

Friday, September 26, 2014 -
3:00pm to 4:00pm
For n≥2 we define a notion of umbilicity for hypersurfaces in the Heisenberg group H_{n}. We classify umbilic hypersurfaces in some cases, and prove that Pansu spheres are the only umbilic spheres with positive constant p(or horizontal)-mean curvature in H_{n} up to Heisenberg translations. This is joint work with Hung-Lin Chiu, Jenn-Fang Hwang, and Paul Yang. 
Jih-Hsin Cheng
Academia Sinica, Taiwan
Event Location: 
Fine Hall 314