The Fr\"olicher-Nijenhuis bracket for derivation based non commutative differential forms
dg-ga
2008-02-03 v1 Differential Geometry
Abstract
In commutative differential geometry the Fr\"olicher-Nijenhuis bracket computes all kinds of curvatures and obstructions to integrability. In \cit!{3} the Fr\"olicher-Nijenhuis bracket was developped for universal differential forms of non-commutative algebras, and several applications were given. In this paper this bracket and the Fr\"olicher-Nijenhuis calculus will be developped for several kinds of differential graded algebras based on derivations, which were indroduced by \cit!{6}.
Keywords
Cite
@article{arxiv.dg-ga/9410007,
title = {The Fr\"olicher-Nijenhuis bracket for derivation based non commutative differential forms},
author = {Michel Dubois-Violette and Peter W. Michor},
journal= {arXiv preprint arXiv:dg-ga/9410007},
year = {2008}
}
Comments
AmSTeX, 28 pages, ESI Preprint 133