16 jan 2025 -- 15:00   [open in google calendar]

SNS, Aula Mancini

Abstract.

On CR manifolds we get the rigidity result, i.e., subelliptic equations have no other solution than some constant at least when parameters are in a certain range, thus solved also the conjecture of Xiaodong Wang in his Math. Z. 2022 paper, in Riemannian geometry version the corresponding result was got by Bidaut Veron- Veron in 1991.

The rigidity result also deduces the best constant for the Folland-Stein Sobolev inequality on closed CR manifolds, when the CR manifold is $S^{2n+1}$ this inequality was obtained by Frank-Lieb in 2012 .

This is a joint work with Qianzhong Ou and Tian Wu.