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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

On Calabi's inhomogeneous Einstein-Kaehler manifolds


Author: Joseph A. Wolf
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
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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 [Enhancements On Off] (What's this?)

  • [1] E. Calabi, A construction of nonhomogeneous Einstein metrics, Differential geometry (Proc. Sympos. Pure Math., Vol. XXVII, Stanford Univ., Stanford, Calif., 1973) Amer. Math. Soc., Providence, R.I., 1975, pp. 17–24. MR 0379912
  • [2] G. Hochschild, The structure of Lie groups, Holden-Day, Inc., San Francisco-London-Amsterdam, 1965. MR 0207883
  • [3] Joseph A. Wolf, Representations of certain semidirect product groups, J. Functional Analysis 19 (1975), no. 4, 339–372. MR 0422519

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DOI: https://doi.org/10.1090/S0002-9939-1977-0442867-4
Article copyright: © Copyright 1977 American Mathematical Society