CURVATURES OF MODULI SPACE OF CURVES AND APPLICATIONS
文献类型：期刊论文
| 作者 | Liu, Kefeng1; Sun, Xiaofeng2; Yang, Xiaokui3,4 ; Yau, Shing-Tung5
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| 刊名 | ASIAN JOURNAL OF MATHEMATICS
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| 出版日期 | 2017-10-01 |
| 卷号 | 21期号:5页码:841-854 |
| 关键词 | Curvature moduli space Weil-Petersson metric |
| ISSN号 | 1093-6106 |
| 英文摘要 | In this paper, we investigate the geometry of the moduli space of curves by using the curvature properties of direct image sheaves of vector bundles. We show that the moduli space (M-g, omega wp) of curves with genus g > 1 has dual-Nakano negative and semi-Nakano-negative curvature, and in particular, it has non-positive Riemannian curvature operator and also non-positive complex sectional curvature. We also prove that any submanifold in M-g which is totally geodesic in A(g) with finite volume must be a ball quotient. |
| 资助项目 | NSFC[11531012] ; NSFC[11688101] ; China's Recruitment Program |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000424657700003 |
| 出版者 | INT PRESS BOSTON, INC |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/29567]  |
| 专题 | 数学所 |
| 通讯作者 | Liu, Kefeng |
| 作者单位 | 1.UCLA, Dept Math, Los Angeles, CA 90095 USA 2.Lehigh Univ, Dept Math, Bethlehem, PA 18015 USA 3.Chinese Acad Sci, Acad Math & Syst Sci, Morningside Ctr Math, Beijing, Peoples R China 4.Chinese Acad Sci, Hua Loo Keng Key Lab Math, Acad Math & Syst Sci, Beijing, Peoples R China 5.Harvard Univ, Dept Math, Cambridge, MA 02138 USA |
| 推荐引用方式 GB/T 7714 | Liu, Kefeng,Sun, Xiaofeng,Yang, Xiaokui,et al. CURVATURES OF MODULI SPACE OF CURVES AND APPLICATIONS[J]. ASIAN JOURNAL OF MATHEMATICS,2017,21(5):841-854. |
| APA | Liu, Kefeng,Sun, Xiaofeng,Yang, Xiaokui,&Yau, Shing-Tung.(2017).CURVATURES OF MODULI SPACE OF CURVES AND APPLICATIONS.ASIAN JOURNAL OF MATHEMATICS,21(5),841-854. |
| MLA | Liu, Kefeng,et al."CURVATURES OF MODULI SPACE OF CURVES AND APPLICATIONS".ASIAN JOURNAL OF MATHEMATICS 21.5(2017):841-854. |
入库方式： OAI收割
来源：数学与系统科学研究院
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