Lifting of linear vector fields to fiber product preserving vertical gauge bundles
Volume 103 / 2005
Colloquium Mathematicum 103 (2005), 33-40
MSC: 58A05, 58A20.
DOI: 10.4064/cm103-1-5
Abstract
We classify all natural operators lifting linear vector fields on vector bundles to vector fields on vertical fiber product preserving gauge bundles over vector bundles. We explain this result for some known examples of such bundles.