On Calabi’s inhomogeneous Einstein-Kaehler manifolds
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- by Joseph A. Wolf PDF
- Proc. Amer. Math. Soc. 63 (1977), 287-288 Request permission
Abstract:
We use some information on Lie groups to replace a long computation of Calabi, proving that certain complete Einstein-Kaehler manifolds are not locally homogeneous, and finding their isometry groups.References
- E. Calabi, A construction of nonhomogeneous Einstein metrics, Differential geometry (Proc. Sympos. Pure Math., Vol. XXVII, Part 2, Stanford Univ., Stanford, Calif., 1973) Amer. Math. Soc., Providence, R.I., 1975, pp. 17–24. MR 0379912
- G. Hochschild, The structure of Lie groups, Holden-Day, Inc., San Francisco-London-Amsterdam, 1965. MR 0207883
- Joseph A. Wolf, Representations of certain semidirect product groups, J. Functional Analysis 19 (1975), no. 4, 339–372. MR 0422519, DOI 10.1016/0022-1236(75)90062-2
Additional Information
- © Copyright 1977 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 63 (1977), 287-288
- MSC: Primary 53C55
- DOI: https://doi.org/10.1090/S0002-9939-1977-0442867-4
- MathSciNet review: 0442867