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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.
Document type :
Journal articles

Cited literature [37 references]

https://hal.archives-ouvertes.fr/hal-00927302
Contributor : Ahmad El Soufi Connect in order to contact the contributor
Submitted on : Tuesday, January 14, 2014 - 9:19:06 AM
Last modification on : Tuesday, January 11, 2022 - 5:56:07 PM
Long-term archiving on: : Tuesday, April 15, 2014 - 4:19:21 PM

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### Citation

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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