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arXiv · 1708.05835

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

Stine Marie Berge·Erlend Grong
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Abstract

For a second order operator on a compact manifold satisfying the strong H\"ormander 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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Stine Marie Berge, Erlend Grong. 2017-08-19. A Lichnerowicz estimate for the spectral gap of the sub-Laplacian. https://arxiv.org/abs/1708.05835

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