A method of deforming G-structures
Differential Geometry
2015-12-09 v3 High Energy Physics - Theory
Mathematical Physics
math.MP
Abstract
We consider deformations of G-structures via the right action on the frame bundle in a base-point-dependent manner. We investigate which of these deformations again lead to G-structures and in which cases the original and the deformed G-structures define the same instantons. Further, we construct a bijection from connections compatible with the original G-structure to those compatible with the deformed G-structure and investigate the change of intrinsic torsion under the aforementioned deformations. Finally, we consider several examples.
Cite
@article{arxiv.1410.5849,
title = {A method of deforming G-structures},
author = {Severin Bunk},
journal= {arXiv preprint arXiv:1410.5849},
year = {2015}
}
Comments
14 pages; v3: references added, published in Journal of Geometry and Physics