Harmonic Maps from Kahler Manifolds

被引：0
作者：
Yuanlong Xin
机构：
来源：
ActaMathematicaSinica(EnglishSeries) | 1999年 / 15卷 / 02期
关键词：
Harmonic map; Kahler manifold; Bounded symmetric domain;
D O I：
暂无
中图分类号：
O186.12 [黎曼几何]; O174.3 [调和函数与位势论];
学科分类号：
070104 ;
摘要：
Some Liouville type theorems for harmonic maps from Kahler manifolds are obtained. Themain result is to prove that a harmonic map from a bounded symmetric domain (except(2)) toany Riemannian manifold with finite energy has to be constant.
引用
收藏
页码：277 / 292
页数：16
相关论文
共 6 条
  • [1] Harmonic maps of bounded symmetric domains[J] . Y. L. Xin.Mathematische Annalen . 1995 (1)
  • [2] Some conditions ensuring the vanishing of harmonic differential forms with applications to harmonic maps and Yang-Mills theory[J] . H. C. J. Sealey.Mathematical Proceedings of the Cambridge Philoso . 1982 (3)
  • [3] K?hler Metrics of Negative Curvature, the Bergmann Metric near the Boundary, and the Kobayashi Metric on Smooth Bounded Strictly Pseudoconvex Sets[J] . Indiana University Mathematics Journal . 1978 (2)
  • [4] The Bergman kernel and biholomorphic mappings of pseudoconvex domains[J] . Charles Fefferman.Inventiones Mathematicae . 1974 (1)
  • [5] Some implications of the generalized Gauss-Bonnet theorem[J] . R. L. Bishop,S. I. Goldberg.Transactions of the American Mathematical Society . 1964 (3)
  • [6] ON THE THEORY OF FUCHSIAN FUNCTIONS OF SEVERAL VARIABLES
    HUA, LK
    [J]. ANNALS OF MATHEMATICS, 1946, 47 (02) : 167 - 191
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