English

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.

Keywords

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

R2 v1 2026-06-22T06:31:56.040Z