Geometry on the Wasserstein Space Over a Compact Riemannian Manifold

doi:10.1007/s10473-021-0612-4

CSpace

	Geometry on the Wasserstein Space Over a Compact Riemannian Manifold
	Ding, Hao 1,2,3; Fang, Shizan 3
	2021-11-01
发表期刊	ACTA MATHEMATICA SCIENTIA
ISSN	0252-9602
卷号	41 期号:6 页码:1959-1984
摘要	We revisit the intrinsic differential geometry of the Wasserstein space over a Riemannian manifold, due to a series of papers by Otto, Otto-Villani, Lott, Ambrosio-Gigli-Savare, etc.
关键词	constant vector fields measures having divergence Levi-Civita connection parallel translations Mckean-Vlasov equations
DOI	10.1007/s10473-021-0612-4
收录类别	SCI
语种	英语
资助项目	China Scholarship Council
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000714918800012
出版者	SPRINGER
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/59531
专题	中国科学院数学与系统科学研究院
通讯作者	Ding, Hao
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China 2.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China 3.Univ Bourgogne Franche Comte, Inst Math Bourgogne, UMR 5584, CNRS, F-21000 Dijon, France
推荐引用方式 GB/T 7714	Ding, Hao,Fang, Shizan. Geometry on the Wasserstein Space Over a Compact Riemannian Manifold[J]. ACTA MATHEMATICA SCIENTIA,2021,41(6):1959-1984.
APA	Ding, Hao,&Fang, Shizan.(2021).Geometry on the Wasserstein Space Over a Compact Riemannian Manifold.ACTA MATHEMATICA SCIENTIA,41(6),1959-1984.
MLA	Ding, Hao,et al."Geometry on the Wasserstein Space Over a Compact Riemannian Manifold".ACTA MATHEMATICA SCIENTIA 41.6(2021):1959-1984.