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

被引：1
|
作者：
Daniel Guan
机构：
[1] The University of California at Riverside,Department of Mathematics
来源：
Annals of Global Analysis and Geometry | 2006年 / 30卷
关键词：
Extremal metrics; Kähler Einstein metrics; Almost homogeneous manifolds; Cohomogeneity one; Fiber bundles; Fourth order equations; Exceptional Lie groups; Hyperquadrics; Blow up of homogeneous spaces; Existence; Futaki invariants; Geodesics; Stability;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
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 G2 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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页码：139 / 167
页数：28
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