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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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A converse of the Gelfand theorem
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by Yiping Mao PDF
Proc. Amer. Math. Soc. 125 (1997), 2699-2702 Request permission

Abstract:

In this short note we obtain a converse to the Gelfand theorem: a Riemannian manifold is homogeneous if the isometrically invariant operators on the manifold form a commutative algebra.
References
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Additional Information
  • Yiping Mao
  • Affiliation: Department of Mathematics, Texas Tech University, Lubbock, Texas 79409
  • Address at time of publication: Department of Mathematics, University of South Carolina, Columbia, South Carolina 29208
  • Email: mao@.math.sc.edu
  • Received by editor(s): April 4, 1995
  • Received by editor(s) in revised form: April 30, 1996
  • Communicated by: Christopher Croke
  • © Copyright 1997 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 125 (1997), 2699-2702
  • MSC (1991): Primary 53C25, 53C30
  • DOI: https://doi.org/10.1090/S0002-9939-97-03927-0
  • MathSciNet review: 1401748