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A Converse of the Gelfand Theorem
Proceedings of the American Mathematical Society
Vol. 125, No. 9 (Sep., 1997), pp. 2699-2702
Published by: American Mathematical Society
Stable URL: http://www.jstor.org/stable/2162043
Page Count: 4
You can always find the topics here!Topics: Mathematical theorems, Differential operators, Topological theorems, Mathematical manifolds, Riemann manifold, Mathematical functions, Algebra, Topological compactness, Geometry
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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.
Proceedings of the American Mathematical Society © 1997 American Mathematical Society