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On the continuity of the eigenvalues of a sublaplacian

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.
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Submitted on : Thursday, January 2, 2014 - 8:58:26 AM
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Amine Aribi, Sorin Dragomir, Ahmad El Soufi. On the continuity of the eigenvalues of a sublaplacian. Canadian Mathematical Bulletin, 2014, 57 (1), pp.12--24. ⟨10.4153/CMB-2012-026-9⟩. ⟨hal-00923208⟩

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