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@article{558262,
author = {Musilová, Pavla and Musilová, Jana},
article_number = {2},
keywords = {natural operators; differential invariants},
language = {eng},
issn = {0034-4877},
journal = {Reports on Mathematical Physics},
title = {Natural operators of smooth mappings of manifolds with metric fields},
volume = {2004},
year = {2004}
}
TY - JOUR
ID - 558262
AU - Musilová, Pavla - Musilová, Jana
PY - 2004
TI - Natural operators of smooth mappings of manifolds with metric fields
JF - Reports on Mathematical Physics
VL - 2004
IS - 2
SP - 273-283
EP - 273-283
SN - 00344877
KW - natural operators
KW - differential invariants
N2 - 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.
ER -
MUSILOVÁ, Pavla a Jana MUSILOVÁ. Natural operators of smooth mappings of manifolds with metric fields. \textit{Reports on Mathematical Physics}. 2004, roč.~2004, č.~2, s.~273-283. ISSN~0034-4877.
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