Natural operators of smooth mappings of manifolds with metric fields

Investor logo

Warning

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

MUSILOVÁ Pavla MUSILOVÁ Jana

Year of publication 2004
Type Article in Periodical
Magazine / Source Reports on Mathematical Physics
MU Faculty or unit

Faculty of Science

Citation
Field Theoretical physics
Keywords natural operators; differential invariants
Description The concepts of both a natural bundle and a natural operator generalized for the case of the category of cartesian product of two manifolds and product of local diffeomorphisms are introduced. The existence of a bijective correspondence between k-th order natural operators and equivariant mappings of corresponding type fibers is proved. A basis of invariants of arbitrary order is constructed for natural operators of smooth mappings of manifolds endowed with metric fields, with values in a natural bundle of order one.
Related projects:

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