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Title: The natural operators lifting vector fields to $(J\sp rT\sp *)\sp *$ (English)
Author: Mikulski, Włodzimierz M.
Language: English
Journal: Archivum Mathematicum
ISSN: 0044-8753 (print)
ISSN: 1212-5059 (online)
Volume: 36
Issue: 4
Year: 2000
Pages: 255-260
Summary lang: English
Category: math
Summary: For integers $r\ge 2$ and $n\ge 2$ a complete classification of all natural operators $A:T_{\vert M_n}\rightsquigarrow T(J^rT^*)^*$ lifting vector fields to vector fields on the natural bundle $(J^rT^*)^*$ dual to $r$-jet prolongation $J^rT^*$ of the cotangent bundle over $n$-manifolds is given. (English)
Keyword: bundle functors
Keyword: natural transformations
Keyword: natural operators
MSC: 53A55
MSC: 58A20
MSC: 58A32
idZBL: Zbl 1049.58011
idMR: MR1811169
Date available: 2008-06-06T22:26:08Z
Last updated: 2012-05-10
Stable URL:
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