A Lichnerowicz-type result on a seven-dimensional quaternionic contact manifold
Differential Geometry
2014-04-18 v1
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.
Keywords
Cite
@article{arxiv.1404.4377,
title = {A Lichnerowicz-type result on a seven-dimensional quaternionic contact manifold},
author = {Alexander Petkov},
journal= {arXiv preprint arXiv:1404.4377},
year = {2014}
}
Comments
18 pages