A nonstandard operator for almost Grassmannian geometries with a torsion
Differential Geometry
2015-10-01 v1
Abstract
A nonstandard invariant fourth order operator acting on functions on a manifold equipped with an almost Grassmannian structure with an arbitrary trorsion is found by means of the curved translation principle. This operator can be viewed as a Grassmannian analogue of the Paneitz operator well known from conformal geometry. It is obtained by translating a Grassmannian analogue of the Laplace operator to a certain tractor bundle with a specific tractor connection, which is not normal in general.
Keywords
Cite
@article{arxiv.1509.09084,
title = {A nonstandard operator for almost Grassmannian geometries with a torsion},
author = {Aleš Návrat},
journal= {arXiv preprint arXiv:1509.09084},
year = {2015}
}