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