A Lichnerowicz estimate for the spectral gap of a sub-Laplacian
Journal article, Peer reviewed
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Date
2019Metadata
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- Institutt for matematiske fag [2389]
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Original version
Proceedings of the American Mathematical Society. 2019, 147 (12), 5153-5166. 10.1090/proc/14223Abstract
Abstract: For a second order operator on a compact manifold satisfying the strong Hörmander condition, we give a bound for the spectral gap analogous to the Lichnerowicz estimate for the Laplacian of a Riemannian manifold. We consider a wide class of such operators which includes horizontal lifts of the Laplacian on Riemannian submersions with minimal leaves.