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

0382840 - MÚ 2013 RIV CZ eng J - Journal Article
Janyška, J. - Markl, Martin
Combinatorial differential geometry and ideal Bianchi-Ricci identities II - the torsion case.
Archivum mathematicum. Roč. 48, č. 1 (2012), s. 61-80. ISSN 0044-8753
R&D Projects: GA ČR GA201/08/0397
Institutional support: RVO:67985840
Keywords : natural operator * linear connection * torsion
Subject RIV: BA - General Mathematics
http://www.dml.cz/handle/10338.dmlcz/142092

This paper is a continuation of [2], 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.
Permanent Link: http://hdl.handle.net/11104/0212953