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On the continuity of the eigenvalues of a sublaplacian. (English) Zbl 1286.32018

Summary: We study the behavior of the eigenvalues of the 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.

MSC:

32V20 Analysis on CR manifolds
53C56 Other complex differential geometry
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