Infinitesimal conditions for the equivariance of morphisms of fibered manifolds
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- by Yvette Kosmann-Schwarzbach
- Proc. Amer. Math. Soc. 77 (1979), 374-380
- DOI: https://doi.org/10.1090/S0002-9939-1979-0545599-9
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Abstract:
We generalize the usual definition of the Lie derivative to the case of a morphism between fibered manifolds which does not necessarily preserve the base. We prove that the vanishing of the Lie derivatives is a necessary and sufficient condition for the equivariance of a morphism of fibered manifolds under the action of a connected Lie group.References
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Bibliographic Information
- © Copyright 1979 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 77 (1979), 374-380
- MSC: Primary 53C10; Secondary 58H05
- DOI: https://doi.org/10.1090/S0002-9939-1979-0545599-9
- MathSciNet review: 545599