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On the Continuity of the Eigenvalues of a Sublaplacian

  • Amine Aribi (a1), Sorin Dragomir (a2) and Ahmad El Soufi (a3)

Abstract

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.

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References

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[1] Aribi, A., Dragomir, S., and Soufi, A. El, Sublaplacian eigenvalue functionals and contact structuredeformations on compact CR manifolds. In preparation.
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On the Continuity of the Eigenvalues of a Sublaplacian

  • Amine Aribi (a1), Sorin Dragomir (a2) and Ahmad El Soufi (a3)

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