On multilinear operators commuting with Lie derivatives

DOI10.1007/BF00773659zbMath0832.58002arXivdg-ga/9409005WikidataQ57408602 ScholiaQ57408602MaRDI QIDQ1897594

Jan Slovák, Andreas Čap

Publication date: 9 October 1995

Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/dg-ga/9409005

zbMATH Keywords

Lie differentiationnatural bundlesnatural operators

Mathematics Subject Classification ID

Jets in global analysis (58A20) Connections (general theory) (53C05) Differential invariants (local theory), geometric objects (53A55)

Related Items (2)

Remark on bilinear operations on tensor fields ⋮ Remarks on natural differential operators with tensor fields

Cites Work

• Natural sheaves
• Peetre theorem for nonlinear operators
• A cohomology for vector valued differential forms
• Local cohomology of the algebra of \(C^\infty\) functions on a connected manifold
• Infinitesimally natural operators are natural
• Natural bundles have finite order
• Lie bracket and curvature
• On the uniqueness of some differential invariants: $d$, $[,$, $\nabla$]
• Natural Vector Bundles and Natural Differential Operators
• Transformation Groups and Natural Bundles
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