Published Paper
Inserted: 10 mar 2017
Last Updated: 16 apr 2021
Journal: Calc. Var. PDE
Volume: 58
Number: 37
Year: 2019
Doi: https://doi.org/10.1007/s00526-018-1467-y
Abstract:
We prove a Bonnet-Myers type theorem for quaternionic contact manifolds of dimension bigger than 7. If the manifold is complete with respect to the natural sub-Riemannian distance and satisfies a natural Ricci-type bound expressed in terms of derivatives up to the third order of the fundamental tensors, then the manifold is compact and we give a sharp bound on its sub-Riemannian diameter.
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