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ISSN 1088-6826(e) ISSN 0002-9939(p)

A converse of the Gelfand theorem

Author(s): Yiping Mao
Journal: Proc. Amer. Math. Soc. 125 (1997), 2699-2702.
MSC (1991): Primary 53C25, 53C30
MathSciNet review: 1401748
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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

DOI: 10.1090/S0002-9939-97-03927-0
PII: S 0002-9939(97)03927-0
Keywords: Invariant differential operator, homogeneous manifold
Received by editor(s): April 4, 1995
Received by editor(s) in revised form: April 30, 1996
Communicated by: Christopher Croke
Copyright of article: Copyright 1997, American Mathematical Society

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