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# On the Continuity of the Eigenvalues of a Sublaplacian

Published:2012-09-21
Printed: Mar 2014
• Amine Aribi,
Laboratoire de Mathématiques et Physique Théorique, Université François Rabelais, Tours, France
• Sorin Dragomir,
Dipartimento di Matematica e Informatica, Università degli Studi della Basilicata, Viale dell'Ateneo Lucano 10, Campus Macchia Romana, 85100 Potenza, Italy
• Ahmad El Soufi,
Laboratoire de Mathématiques et Physique Théorique, Université François Rabelais, Tours, France
 Format: LaTeX MathJax PDF

## 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.
 Keywords: CR manifold, contact form, sublaplacian, Fefferman metric
 MSC Classifications: 32V20 - Analysis on CR manifolds 53C56 - Other complex differential geometry [See also 32Cxx]

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