Séminaire de GéométrieRigidity of singular CMC hypersurfaces via the first eigenvalue of the Jacobi operator
Nguyen Thac Dung (Hanoi University of Science)
Friday 24 November 2023 13:30 - Tours - 1180 (Bât. E2)
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.