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A lower bound on the spectrum of the sublaplacian

Abstract : We establish a new lower bound on the first nonzero eigenvalue $\lambda_1 (\theta )$ of the sublaplacian $\Delta_b$ on a compact strictly pseudoconvex CR manifold $M$ carrying a contact form $\theta$ whose Tanaka-Webster connection has pseudohermitian Ricci curvature bounded from below.
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Submitted on : Tuesday, January 14, 2014 - 9:19:06 AM
Last modification on : Thursday, March 5, 2020 - 5:33:03 PM
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Amine Aribi, Sorin Dragomir, Ahmad El Soufi. A lower bound on the spectrum of the sublaplacian. Journal of Geometric Analysis, 2014, pp.1-28. ⟨10.1007/s12220-014-9481-6⟩. ⟨hal-00927302⟩

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