2009/09/27 by Kamil Niedziałomski, Kamil Niedzialomski, Niedzialomski, Kamil
Mathematics · Physics and Astronomy · #53C43 #58E20 #Advanced Differential Geometry Research #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #math.DG #msc:53C43 #msc:58E20
paper · pdf · doi:10.48550/arxiv.0909.4957
Revised version of the previous preprint 'Harmonic distributions and conformal deformations', 13 pages
openalex publication_date 2009/09/27 · arxiv created 2012/09/23 · arxiv updated 2012/09/25 · openalex created_date 2019/06/27 · openalex updated_date 2026/07/28
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.