| 书目名称 | Metric Diffusion Along Foliations |
| 编辑 | Szymon M. Walczak |
| 视频video | |
| 概述 | Covers metric diffusion along compact foliations.Reinforces basic principles in foliations, holonomy, and heat diffusion.Clarifies the metrization of weak topology.Includes supplementary material: .In |
| 丛书名称 | SpringerBriefs in Mathematics |
| 图书封面 |  |
| 描述 | .Up-to-date research in metric diffusion along compact foliations is presented in this book. Beginning with fundamentals from the optimal transportation theory and the theory of foliations; this book moves on to cover Wasserstein distance, Kantorovich Duality Theorem, and the metrization of the weak topology by the Wasserstein distance. Metric diffusion is defined, the topology of the metric space is studied and the limits of diffused metrics along compact foliations are discussed. Essentials on foliations, holonomy, heat diffusion, and compact foliations are detailed and vital technical lemmas are proved to aide understanding.. .Graduate students and researchers in geometry, topology and dynamics of foliations and laminations will find this supplement useful as it presents facts about the metric diffusion along non-compact foliation and provides a full description of the limit for metrics diffused along foliation with at least one compact leaf on the two dimensions.. |
| 出版日期 | Book 2017 |
| 关键词 | Wasserstein distance; Metric diffusion; Compact foliations; heat diffusion; non-compact foliations; Holon |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-319-57517-9 |
| isbn_softcover | 978-3-319-57516-2 |
| isbn_ebook | 978-3-319-57517-9Series ISSN 2191-8198 Series E-ISSN 2191-8201 |
| issn_series | 2191-8198 |
| copyright | The Author(s) 2017 |
发表于 2025-3-21 16:26:43
