| 书目名称 | The Volume of Vector Fields on Riemannian Manifolds |
| 副标题 | Main Results and Ope |
| 编辑 | Olga Gil-Medrano |
| 视频video | |
| 概述 | The first book devoted to the volume functional on the space of vector fields on a Riemannian manifold.Enables the reader to rapidly gain deep insight into the subject.Includes many open problems, enc |
| 丛书名称 | Lecture Notes in Mathematics |
| 图书封面 |  |
| 描述 | .This book focuses on the study of the volume of vector fields on Riemannian manifolds. Providing a thorough overview of research on vector fields defining minimal submanifolds, and on the existence and characterization of volume minimizers, it includes proofs of the most significant results obtained since the subject’s introduction in 1986. Aiming to inspire further research, it also highlights a selection of intriguing open problems, and exhibits some previously unpublished results. The presentation is direct and deviates substantially from the usual approaches found in the literature, requiring a significant revision of definitions, statements, and proofs...A wide range of topics is covered, including: a discussion on the conditions for a vector field on a Riemannian manifold to determine a minimal submanifold within its tangent bundle with the Sasaki metric; numerous examples of minimal vector fields (including those of constant length on punctured spheres); athorough analysis of Hopf vector fields on odd-dimensional spheres and their quotients; and a description of volume-minimizing vector fields of constant length on spherical space forms of dimension three...Each chapter con |
| 出版日期 | Book 2023 |
| 关键词 | Riemannian Manifolds; Minimal Submanifolds; Minimal Vector Fields; Stability of Minimal Vector Fields; H |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-031-36857-8 |
| isbn_softcover | 978-3-031-36856-1 |
| isbn_ebook | 978-3-031-36857-8Series ISSN 0075-8434 Series E-ISSN 1617-9692 |
| issn_series | 0075-8434 |
| copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl |
发表于 2025-3-21 18:27:59
