Natural operators of smooth mappings of manifolds with metric fields
| Authors | |
|---|---|
| Year of publication | 2004 |
| Type | Article in Periodical |
| Magazine / Source | Reports on Mathematical Physics |
| MU Faculty or unit | |
| Citation | MUSILOVÁ, Pavla and Jana MUSILOVÁ. Natural operators of smooth mappings of manifolds with metric fields. Reports on Mathematical Physics. 2004, vol. 2004, No 2, p. 273-283. ISSN 0034-4877. |
| 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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