Two notes on harmonic distributions
Differential Geometry
2012-09-25 v2
Abstract
We say that a distribution is harmonic if it is harmonic when considered as a section of a Grassmann bundle. We find new examples of harmonic distributions and show nonexistense of harmonic distrubutions on some Riemannian manifolds by two different approaches. Firstly, we lift distributions to the second tangent bundle equipped with the Sasaki metric. Secondly, we deform conformally the metric on a base manifold.
Cite
@article{arxiv.0909.4957,
title = {Two notes on harmonic distributions},
author = {Kamil Niedzialomski},
journal= {arXiv preprint arXiv:0909.4957},
year = {2012}
}
Comments
Revised version of the previous preprint 'Harmonic distributions and conformal deformations', 13 pages