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. (C) 2015 Elsevier B.V. All rights reserved.
|Number of pages||9|
|Journal||Journal of Geometry and Physics|
|Early online date||17 Jun 2015|
|Publication status||Published - Oct 2015|
- Instantons in higher dimensions
- Connections on principal bundles
- Flux compactifications