Combinatorial differential geometry and ideal Bianchi-Ricci identities II - the torsion case
Differential Geometry
2011-01-25 v1
Abstract
This paper is a continuation of arXiv:0809.1158, dealing with a general, not-necessarily torsion-free, connection. It characterizes all possible systems of generators for vector-field valued operators that depend naturally on a set of vector fields and a linear connection, describes the size of the space of such operators and proves the existence of an `ideal' basis consisting of operators with given leading terms which satisfy the (generalized) Bianchi-Ricci identities without corrections.
Keywords
Cite
@article{arxiv.1101.4451,
title = {Combinatorial differential geometry and ideal Bianchi-Ricci identities II - the torsion case},
author = {Josef Janyška and Martin Markl},
journal= {arXiv preprint arXiv:1101.4451},
year = {2011}
}
Comments
20 pages