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On the Continuity of the Eigenvalues of a Sublaplacian

Published online by Cambridge University Press:  20 November 2018

Amine Aribi ,
Sorin Dragomir  and
Ahmad El Soufi
Amine Aribi
Affiliation:
Laboratoire de Mathématiques et Physique Théorique, Université François Rabelais, Tours, France e-mail: amine.aribi@lmpt.univ-tours.fr
Sorin Dragomir
Affiliation:
Dipartimento di Matematica e Informatica, Universitá degli Studi della Basilicata, Viale dell’Ateneo Lucano 10, Campus Macchia Romana, 85100 Potenza, Italy e-mail: sorin.dragomir@unibas.it
Ahmad El Soufi
Affiliation:
Laboratoire de Mathématiques et Physique Théorique, Université François Rabelais, Tours, France e-mail: Ahmad.Elsoufi@lmpt.univ-tours.fr
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Abstract

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We study the behavior of the eigenvalues of a sublaplacian ${{\Delta }_{b}}$ on a compact strictly pseudoconvex $\text{CR}$ 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

32V2053C56CR manifoldcontact formsublaplacianFefferman metric
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 57 , Issue 1 , 14 March 2014 , pp. 12 - 24
Copyright
Copyright © Canadian Mathematical Society 2014

References

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