Monotonicity and rigidity of the W-entropy on RCD(0, N) spaces
文献类型：期刊论文
| 作者 | Kuwada, Kazumasa2; Li, Xiang-Dong1
|
| 刊名 | MANUSCRIPTA MATHEMATICA
 |
| 出版日期 | 2020-01-25 |
| 页码 | 31 |
| ISSN号 | 0025-2611 |
| DOI | 10.1007/s00229-019-01177-y |
| 英文摘要 | By means of a space-time Wasserstein control, we show the monotonicity of the W-entropy functional in time along heat flows on possibly singular metric measure spaces with non-negative Ricci curvature and a finite upper bound of dimension in an appropriate sense.The associated rigidity result on the rate of dissipation of the W-entropy is also proved.These extend known results even on weighted Riemannian manifolds in some respects. In addition, we reveal that some singular spaces will exhibit the rigidity models while only the Euclidean space does in the class of smooth weighted Riemannian manifolds. |
| 资助项目 | European Union through the ERC-AdG Ricci Bounds |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| 出版者 | SPRINGER HEIDELBERG |
| WOS记录号 | WOS:000509130500001 |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/50545]  |
| 专题 | 应用数学研究所 |
| 通讯作者 | Kuwada, Kazumasa |
| 作者单位 | 1.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, 55 Zhongguancun East Rd, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Kuwada, Kazumasa,Li, Xiang-Dong. Monotonicity and rigidity of the W-entropy on RCD(0, N) spaces[J]. MANUSCRIPTA MATHEMATICA,2020:31. |
| APA | Kuwada, Kazumasa,&Li, Xiang-Dong.(2020).Monotonicity and rigidity of the W-entropy on RCD(0, N) spaces.MANUSCRIPTA MATHEMATICA,31. |
| MLA | Kuwada, Kazumasa,et al."Monotonicity and rigidity of the W-entropy on RCD(0, N) spaces".MANUSCRIPTA MATHEMATICA (2020):31. |
入库方式： OAI收割
来源：数学与系统科学研究院
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