Volume no :36, Issue no: 1, November

ON THE EQUIVALENCE PROBLEM FOR GEOMETRIC STRUCTURES, II

Author's: Antonio Kumpera
Pages: [47] - [93]
Received Date: May 30, 2015
Submitted by:
DOI: http://dx.doi.org/10.18642/jmsaa_7100121509

Abstract

This paper is a continuation of Part I where the general setup was developed. Here we discuss the general equivalence problem for geometric structures and provide criteria for the equivalence, local and global, of transitive structures. Cartan’s Flag Systems illustrate the theory as a major example and, finally, some attention though little is given to non-transitive structures with regular orbits, i.e., intransitivity classes.

Keywords

prolongation spaces, structures, equivalence, differential invariants.