The Gel′fand theorem and its converse for Kähler manifolds
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- by O. Kowalski and L. Vanhecke PDF
- Proc. Amer. Math. Soc. 102 (1988), 150-152 Request permission
Abstract:
We characterize the locally Hermitian symmetric manifolds among the homogeneous Kähler manifolds $M$ by each of the following properties: (i) all ${A_0}(M)$-invariant differential operators on $M$ commute $({A_0}(M)$ denotes the identity component of the group of all holomorphic isometries); (ii) all geodesies are orbits of one-parameter groups of holomorphic isometries.References
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Additional Information
- © Copyright 1988 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 102 (1988), 150-152
- MSC: Primary 53C30,; Secondary 32M05,53C55
- DOI: https://doi.org/10.1090/S0002-9939-1988-0915734-4
- MathSciNet review: 915734