CURVATURES OF MODULI SPACE OF CURVES AND APPLICATIONS

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	CURVATURES OF MODULI SPACE OF CURVES AND APPLICATIONS
	Liu, Kefeng 1; Sun, Xiaofeng 2; Yang, Xiaokui3,4 ; Yau, Shing-Tung 5
刊名	ASIAN JOURNAL OF MATHEMATICS
	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
出版者	INT PRESS BOSTON, INC
WOS记录号	WOS:000424657700003
内容类型	期刊论文
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.