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Annals of Global Analysis and Geometry

, Volume 6, Issue 2, pp 109–117 | Cite as

On the natural operators on vector fields

  • Ivan Kolář
Article

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 Slovák and Jiří Vanžura for several useful comments.

All manifolds and maps are assumed to be infinitely differentiable.

Keywords

Vector Field Group Theory Natural Operator Preserve Functor Kind Hospitality 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© VEB Deutscher Verlag der Wissenschaften 1988

Authors and Affiliations

  • Ivan Kolář
    • 1
  1. 1.Matematický ústav ČSAV pobočka BrnoBrnoCzechoslovakia

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