Natural operators of smooth mappings of manifolds with metric fields

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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.
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