Geometric Analysis Seminar

Shubham Dwivedi, Department of Pure Mathematics, University of Waterloo

"Simons' Inequality and consequences"

We will prove the Simons' Inequality which is satisfied by the laplacian of the normed square of the second fundamental form of any minimal hypersurface in $\mathbb{R}^n$. We will then prove various consequences of the inequality, including results of Choi and Schoen, Hopf and that of Schoen/Leon Simon/Yau.

MC 5479