Abstract : We study the behavior of the eigenvalues of a sublaplacian $\Delta_b$ on a compact strictly pseudoconvex CR manifold $M$, as functions on the set ${\mathcal P}_+$ of positively oriented contact forms on $M$ by endowing ${\mathcal P}_+$ with a natural metric topology.
https://hal.archives-ouvertes.fr/hal-00923208 Contributor : Ahmad El SoufiConnect in order to contact the contributor Submitted on : Thursday, January 2, 2014 - 8:58:26 AM Last modification on : Friday, April 22, 2022 - 2:22:03 PM Long-term archiving on: : Saturday, April 8, 2017 - 9:28:18 AM
Amine Aribi, Sorin Dragomir, Ahmad El Soufi. On the continuity of the eigenvalues of a sublaplacian. Canadian Mathematical Bulletin, Cambridge University Press, 2014, 57 (1), pp.12--24. ⟨10.4153/CMB-2012-026-9⟩. ⟨hal-00923208⟩