Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS

   
Mobile Device Pairing
Green Open Access
Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

A converse of the Gelfand theorem


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

Abstract | References | Similar Articles | Additional Information

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 [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC (1991): 53C25, 53C30

Retrieve articles in all journals with MSC (1991): 53C25, 53C30


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: http://dx.doi.org/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
Article copyright: © Copyright 1997 American Mathematical Society