A Lichnerowicz estimate for the spectral gap of a sub-Laplacian

Berge, Stine; Grong, Erlend

doi:10.1090/proc/14223

A Lichnerowicz estimate for the spectral gap of a sub-Laplacian
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by Stine Marie Berge and Erlend Grong PDF

Proc. Amer. Math. Soc. 147 (2019), 5153-5166 Request permission

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.

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