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

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