Rigidity of singular CMC hypersurfaces via the first eigenvalue of the Jacobi operator

by Nguyen Thac Dung (Hanoi University of Science)

Friday Nov 24, 2023, 1:30 PM → 3:30 PM Europe/Paris

1180 (Bât. E2) (Tours)

In this talk, we study the first eigenvalue of the Jacobi operator on an integral $n$-varifold with constant mean curvature in space forms. We find optimal upper bounds and prove rigidity results characterizing the case when they are attained. These give a new characterization for certain Clifford tori and catenoids.

The talk is based on joint works with H. T. Dung, J.C. Pyo, and Hung Tran.