CONVERSE OF THE GELFAND THEOREM

Authors
MAO YP
Citation
Yp. Mao, CONVERSE OF THE GELFAND THEOREM, Proceedings of the American Mathematical Society, 125(9), 1997, pp. 2699-2702
Citations number
13
Categorie Soggetti
Mathematics, General",Mathematics,Mathematics
Journal title
Proceedings of the American Mathematical Society → ACNP
ISSN journal
00029939
Volume
125
Issue
9
Year of publication
1997
Pages
2699 - 2702
Database
ISI
SICI code
0002-9939(1997)125:9<2699:COTGT>2.0.ZU;2-V
Abstract
In this short note we obtain a converse to the Gelfand theorem: a Riem annian manifold is homogeneous if the isometrically invariant operator s on the manifold form a commutative algebra.