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

Investor logo

Warning

This publication doesn't include Faculty of Education. It includes Faculty of Science. Official publication website can be found on muni.cz.
Authors

JANYŠKA Josef MARKL Martin

Year of publication 2012
Type Article in Periodical
Magazine / Source Archivum Mathematicum
MU Faculty or unit

Faculty of Science

Citation
Web http://emis.muni.cz/journals/AM/12-1/am2052.pdf
Doi http://dx.doi.org/10.5817/AM2012-1-61
Field General mathematics
Keywords Natural operator; linear connection; torsion; reduction theorem; graph
Attached files
Description This paper is a continuation of the paper J. Janyška and M. Markl, Combinatorial differential geometry and ideal Bianchi-Ricci identities, Advances in Geometry 11 (2011) 509-540, 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.
Related projects:

You are running an old browser version. We recommend updating your browser to its latest version.