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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Infinitesimal conditions for the equivariance of morphisms of fibered manifolds
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by Yvette Kosmann-Schwarzbach PDF
Proc. Amer. Math. Soc. 77 (1979), 374-380 Request permission

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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  • Albert Nijenhuis, Geometric aspects of formal differential operations on tensors fields, Proc. Internat. Congress Math. 1958., Cambridge Univ. Press, New York, 1960, pp. 463–469. MR 0170293
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Additional 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