| 书目名称 | Reshetnyak‘s Theory of Subharmonic Metrics | | 编辑 | François Fillastre,Dmitriy Slutskiy | | 视频video | | | 概述 | The articles of Yu. G. Reshetnyak about surfaces of bounded curvature accessible and translated.These articles are the only references for the complete proofs of Reshetnyak‘s theorem on the subject.It | | 图书封面 |  | | 描述 | .Despite the fundamental role played by Reshetnyak‘s work in the theory of surfaces of bounded integral curvature, the proofs of his results were only available in his original articles, written in Russian and often hard to find. This situation used to be a serious problem for experts in the field. This book provides English translations of the full set of Reshetnyak‘s articles on the subject. Together with the companion articles, this book provides an accessible and comprehensive reference for the subject. In turn, this book should concern any researcher (confirmed or not) interested in, or active in, the field of bounded integral curvature surfaces, or more generally interested in surface geometry and geometric analysis. Due to the analytic nature of Reshetnyak‘s approach, it appears that his articles are very accessible for a modern audience, comparing to the works using a more synthetic approach...These articles of Reshetnyak concern more precisely the work carried bythe author following the completion of his PhD thesis, under the supervision of A.D. Alexandrov. Over the period from the 1940’s to the 1960’s, the Leningrad School of Geometry, developed a theory of the metric geo | | 出版日期 | Book 2023 | | 关键词 | Alexandrov surfaces; Bounded integral curvature surfaces; Metrics with low regularity; Metric geometry | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-031-24255-7 | | isbn_softcover | 978-3-031-24257-1 | | isbn_ebook | 978-3-031-24255-7 | | 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 18:44:34
