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Existence of extremal metrics on almost homogeneous manifolds of cohomogeneity one —IV

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Abstract

This paper is the first of a series of papers in which we generalize our results in (Asian J. of Math. 4, 817–830 (2000); J. Geom. Anal. 12, 63–79 (2002); Intern. J. Math. 14, 259–287 (2003)) to the general complex compact almost homogeneous manifolds of real cohomogeneity one. In this paper we deal with the exceptional case of the G 2 action (Cf. Intern. J. Math. 14, 259–287 (2003), p. 285). In particular, we prove the existence of Kähler-Einstein metric on this manifold.

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Authors and Affiliations

  1. Department of Mathematics, The University of California at Riverside, Riverside, CA, 92521, USA

    Daniel Guan

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  1. Daniel Guan
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Supported by DMS-0103282

Communicated by: S. Salamon (Torino)

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Guan, D. Existence of extremal metrics on almost homogeneous manifolds of cohomogeneity one —IV. Ann Glob Anal Geom 30, 139–167 (2006). https://doi.org/10.1007/s10455-006-9026-8

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  • DOI: https://doi.org/10.1007/s10455-006-9026-8

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