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On the natural operators on vector fields

✍ Scribed by Ivan Kolář

Publisher
Springer
Year
1988
Tongue
English
Weight
462 KB
Volume
6
Category
Article
ISSN
0232-704X

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✦ Synopsis

We determine all natural operators transforming every vector field on a manifold M into a vector field on FM, where F is any natural bundle corresponding to a product preserving functor.

This research was finished during the author's stay at the University of Vienna. The author acknowledges its kind hospitality and is grateful to Peter Michor, Jan Slovhk and Jiii Vanzura for several useful comments.

All manifolds and maps are assumed to be infinitely differentiable.

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