| 书目名称 | Handbook of Geometry and Topology of Singularities VI: Foliations | | 编辑 | Felipe Cano,José Luis Cisneros-Molina,José Seade | | 视频video | | | 概述 | Focuses on the connections between singular holomorphic foliations and singularity theory.Ideal for graduate students and researchers in general, and as a reference for specialists.Encourages readers | | 图书封面 |  | | 描述 | .This is the sixth volume of the Handbook of Geometry and Topology of Singularities, a series which aims to provide an accessible account of the state-of-the-art of the subject, its frontiers, and its interactions with other areas of research. Singularities are ubiquitous in mathematics and science in general, and singularity theory is a crucible where different types of mathematical problems converge, surprising connections are born and simple questions lead to ideas which resonate in other parts of the subject, and in other subjects..This Volume VI goes together with Volume V and focuses on singular holomorphic foliations, which is a multidisciplinary field and a whole area of mathematics in itself. Singular foliations arise, for instance, by considering:.The fibers of a smooth map between differentiable manifolds, with singularities at the critical points..The integral lines of a vector field, or the action of a Lie group on a manifold. The singularities are the orbits with special isotropy..The kernel of appropriate 1-forms. The singularities are the zeroes of the form..Open books, which naturally appear in singularity theory, are foliations with singular set the binding..These | | 出版日期 | Book 2024 | | 关键词 | Foliations; Vector field; Singularity; Invariant theory; Holonomy; Limit Cycles; closed forms; uniformizati | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-031-54172-8 | | isbn_softcover | 978-3-031-54174-2 | | isbn_ebook | 978-3-031-54172-8 | | copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl |
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发表于 2025-3-21 18:47:50
