Combinatorial differential geometry and ideal Bianchi-Ricci identities II - the torsion case

Details Combinatorial differential geometry and ideal Bianchi-Ricci identities II - the torsion case Combinatorial differential geometry and ideal Bianchi-Ricci identities II - the torsion case

2011-01-24

arxiv.org/abs/1101.4451v1

Mathematics

Differential Geometry

20 pages

Scientific paper

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.

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