A converse of the Gelfand theorem

DOI10.1090/S0002-9939-97-03927-0zbMath0884.53038MaRDI QIDQ4372331

Yiping Mao

Publication date: 11 December 1997

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

homogeneous manifoldinvariant differential operatorcommutative space

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25)

Related Items (2)

Classification of generalized normal homogeneous Riemannian manifolds of positive Euler characteristic ⋮ Homogeneous spaces with inner metric and with integrable invariant distributions

Cites Work

• Unnamed Item
• Unnamed Item
• The isotropy representation for homogeneous Siegel domains
• Addendum to ``Existence of Hermitian n-symmetric spaces and of non- commutative naturally reductive spaces
• The Gelfand theorem and its converse in Sasakian geometry
• Remarks on the group of isometries of a Riemannian manifold
• Classification of five-dimensional naturally reductive spaces
• On the Geometry of Groups of Heisenberg Type
• Commutative Algebras of Invariant Functions on Groups of Heisenberg Type
• The Gelfand Theorem and its Converse for Kahler Manifolds
• Some regularity theorems in riemannian geometry
• Mean-value theorems for Riemannian manifolds

This page was built for publication: A converse of the Gelfand theorem