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arXiv · 1404.4377

A Lichnerowicz-type result on a seven-dimensional quaternionic contact manifold

Alexander Petkov
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Abstract

In this paper we establish an analogue of the classical Lichnerowicz' theorem giving a sharp lower bound of the first non-zero eigenvalue of the sub-Laplacian on a compact seven-dimensional quaternionic contact manifold, assuming a lower bound of the qc-Ricci tensor, torsion tensor and its distinguished covariant derivatives.

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Alexander Petkov. 2014-04-16. A Lichnerowicz-type result on a seven-dimensional quaternionic contact manifold. https://arxiv.org/abs/1404.4377

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