KAHLER METRIC ON THE SPACE OF CONVEX REAL PROJECTIVE STRUCTURES ON SURFACE

被引：9

作者：

Kim, Inkang ^{[1
]}

Zhang, Genkai ^{[2
]}

机构：

[1] KIAS, Sch Math, Heogiro 85, Seoul 130722, South Korea

[2] Gothenburg Univ, Chalmers Univ Technol & Math Sci, Math Sci, SE-41296 Gothenburg, Sweden

来源：

JOURNAL OF DIFFERENTIAL GEOMETRY | 2017年 / 106卷 / 01期

关键词：

RIEMANN SURFACES; TEICHMULLER SPACE; CANONICAL METRICS; MODULI SPACE; MANIFOLDS; BUNDLES; DIFFERENTIALS; CURVATURE; CURVES;

D O I：

10.4310/jdg/1493172095

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove that the space of convex real projective structures on a surface of genus g >= 2 admits a mapping class group invariant Kahler metric where Teichmuller space with Weil-Petersson metric is a totally geodesic complex submanifold.

引用

页码：127 / 137

页数：11

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