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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 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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The derivative of the exponential map
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by Carl Herz
Proc. Amer. Math. Soc. 112 (1991), 909-911
DOI: https://doi.org/10.1090/S0002-9939-1991-1086328-8
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Abstract:

We give a quick analytic derivation of the formula for the derivative of the exponential of a vector field on a manifold.
References
  • Sigurdur Helgason, Differential geometry, Lie groups, and symmetric spaces, Pure and Applied Mathematics, vol. 80, Academic Press, Inc. [Harcourt Brace Jovanovich, Publishers], New York-London, 1978. MR 514561
  • V. S. Varadarajan, Lie groups, Lie algebras, and their representations, Prentice-Hall Series in Modern Analysis, Prentice-Hall, Inc., Englewood Cliffs, N.J., 1974. MR 0376938
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Bibliographic Information
  • © Copyright 1991 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 112 (1991), 909-911
  • MSC: Primary 58C25
  • DOI: https://doi.org/10.1090/S0002-9939-1991-1086328-8
  • MathSciNet review: 1086328