| 书目名称 | The Geometry of Infinite-Dimensional Groups | | 编辑 | Boris Khesin,Robert Wendt | | 视频video | | | 概述 | Major monograph on infinite-dimensional Lie groups, an important research area where books are scarce.Includes supplementary material: | | 图书封面 |  | | 描述 | .This monograph gives an overview of various classes of infinite-dimensional Lie groups and their applications in Hamiltonian mechanics, fluid dynamics, integrable systems, gauge theory, and complex geometry. While infinite-dimensional groups often exhibit very peculiar features, this book describes unifying geometric ideas of the theory and gives numerous illustrations and examples, ranging from the classification of the Virasoro coadjoint orbits to knot theory, from optimal mass transport to moduli spaces of flat connections on surfaces. ..The text includes many exercises and open questions, and it is accessible to both students and researchers in Lie theory, geometry, and Hamiltonian systems. . | | 出版日期 | Book 2009 | | 关键词 | Euler equations; Gauge theory; Hamiltonian systems; differential geometry; infinite-dimensional Lie grou | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-540-77263-7 | | isbn_softcover | 978-3-540-85205-6 | | isbn_ebook | 978-3-540-77263-7 | | copyright | Springer-Verlag Berlin Heidelberg 2009 |
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发表于 2025-3-21 18:03:32
