书目名称 | Geometric Analysis on Real Analytic Manifolds |
编辑 | Andrew D. Lewis |
视频video | http://file.papertrans.cn/384/383454/383454.mp4 |
概述 | First comprehensive treatment of real analytic functional analysis with emphasis on differential geometry.Includes many separately interesting geometric techniques for geometric analysis on manifolds, |
丛书名称 | Lecture Notes in Mathematics |
图书封面 |  |
描述 | This monograph provides some useful tools for performing global geometric analysis on real analytic manifolds. At the core of the methodology of the book is a variety of descriptions for the topologies for the space of real analytic sections of a real analytic vector bundle and for the space of real analytic mappings between real analytic manifolds. Among the various descriptions for these topologies is a development of geometric seminorms for the space of real analytic sections. To illustrate the techniques in the book, a number of fundamental constructions in differential geometry are shown to induce continuous mappings on spaces of real analytic sections and mappings..Aimed at researchers at the level of Doctoral students and above, the book introduces the reader to the challenges and opportunities of real analytic analysis and geometry.. |
出版日期 | Book 2023 |
关键词 | Functional Analysis; Real Analytic Analysis; Geometric Analysis; Analysis on Manifolds; Difefrential Ge |
版次 | 1 |
doi | https://doi.org/10.1007/978-3-031-37913-0 |
isbn_softcover | 978-3-031-37912-3 |
isbn_ebook | 978-3-031-37913-0Series 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 |