This is a joint seminar with Spectral Geometry in the Clouds https://spectralclouds.github.io/.
In this talk I will speak about a deep connection between Serrin’s symmetry result for Hessian operators and constant higher order mean curvature boundaries. The results I will describe are contained in a joint work with A.L. Masiello, G. Paoli and G. Poggesi. Our analysis will not only provide new proofs of the higher order Soap Bubble Theorem but also bring several benefits, including new interesting symmetry results and quantitative stability estimates.
