購物比價找書網找車網
FindBook
排序:
 
 有 1 項符合

Reshetnyak

的圖書
Reshetnyak’s Theory of Subharmonic Metrics
$ 8399
Reshetnyak’s Theory of Subharmonic Metrics
出版社:Springer
出版日期:2023-09-16
語言:英文   規格:精裝 / 普通級/ 初版
博客來 博客來 - 向量分析  - 來源網頁  
圖書介紹看圖書介紹
圖書介紹 - 資料來源:博客來   評分:
圖書名稱:Reshetnyak’s Theory of Subharmonic Metrics

內容簡介

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 by the 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 geometry of surfaces, similar to the classical theory of Riemannian surfaces, but with lower regularity, allowing greater flexibility. Let us mention A.D. Alexandrov, Y.D. Burago and V.A. Zalgaller. The types of surfaces studied by this school are now known as surfaces of bounded curvature. Particular cases are that of surfaces with curvature bounded from above or below, the study of which gained special attention after the works of M. Gromov and G. Perelman. Nowadays, these concepts have been generalized to higher dimensions, to graphs, and so on, and the study of metrics of weak regularity remains an active and challenging field.

Reshetnyak developed an alternative and analytic approach to surfaces of bounded integral curvature. The underlying idea is based on the theorem of Gauss which states that every Riemannian surface is locally conformal to Euclidean space. Reshetnyak thus studied generalized metrics which are locally conformal to the Euclidean metric with conformal factor given by the logarithm of the difference between two subharmonic functions on the plane. Reshetnyak’s condition appears to provide the correct regularity required to generalize classical concepts such as measure of curvature, integral geodesic curvature for curves, and so on, and in turn, to recover surfaces of bounded curvature.

Chapter-No.7, Chapter-No.8, Chapter-No.12 and Chapter-No.13 are available open access under Creative Commons Attribution-NonCommercial 4.0 International License via link.springer.com.

 

作者簡介

​François Fillastre defended his PhD in 2006. It was supervised by Bruno Colbois (Neuchâtel) and Jean-Marc Schlenker (Toulouse). During about ten years at Cergy Université, as a Maître de Conférence (permanent associated professor), he worked on convex isometric immersion of surfaces, that led naturally to the study of metric spaces of bounded curvature, and then to Reshetnyak’s work. He is now Maître de Conférence at Université de Montpellier.

Dmitriy Slutskiy defended his PhD in 2013, supervised by Jean-Marc Schlenker (Toulouse) and Victor Alexandrov (Novosibirsk). It was about hyperbolic manifolds with polyhedral boundary and flexibility of hyperbolic polyhedra. In the ’00s, in Novosibirsk, he first became acquainted with Yu. G. Reshetnyak and his works. Much later, when Dmitriy was a post-doc in Cergy with F. Fillastre, they started to read Yu. G. Reshetnyak’s articles. Dmitriy Slutskiy is now a research engineer at ENGIE.

 

詳細資料

  • ISBN:9783031242540
  • 規格:精裝 / 普通級 / 初版
  • 出版地:美國
贊助商廣告
 
金石堂 - 今日66折
【每日讀詩詞】唐詩鑑賞辭典(全三卷)
66折: $ 1782 
金石堂 - 今日66折
造神:人類探索信仰與宗教的歷史
作者:雷薩.阿斯蘭
出版社:衛城出版
出版日期:2020-09-02
66折: $ 297 
金石堂 - 今日66折
「半神鈴音丸」系列.暢銷書盒版(1~7集,全七冊,限量加贈「半神搖搖壓克力立牌」)
作者:廣嶋玲子
出版社:小熊出版社
出版日期:2024-02-17
66折: $ 1525 
金石堂 - 今日66折
克蘇魯神話 I:呼喚(精裝)
66折: $ 329 
 
金石堂 - 暢銷排行榜
滿洲鴉片小隊(06)
作者:門馬司
出版社:尖端漫畫
出版日期:2024-11-20
$ 170 
博客來 - 暢銷排行榜
神奇柑仔店18:紅子與錢天堂的起點
作者:廣嶋玲子
出版社:親子天下
出版日期:2024-10-31
$ 284 
博客來 - 暢銷排行榜
黃泉使者 7 (首刷限定版)
出版日期:2024-11-05
$ 133 
博客來 - 暢銷排行榜
戀上換裝娃娃 13 (首刷限定版)
出版日期:2024-11-14
$ 190 
 
Taaze 讀冊生活 - 新書排行榜
【京都三部曲2】喜樂京都(壽岳章子X澤田重隆攜手經典作,在台發行20周年金典珍藏)
作者:壽岳章子
出版社:馬可孛羅
出版日期:2024-11-07
$ 280 
Taaze 讀冊生活 - 新書排行榜
雌宿~妻子被淫亂地玷汙~
作者:雨あられ
出版社:暮想出版股份有限公司
出版日期:2024-11-14
$ 185 
Taaze 讀冊生活 - 新書排行榜
室內設計必學施工圖【暢銷改版】:教你建立邏輯、畫出重點,建立紮實基礎,快速繪製一看就懂可施作的圖面
作者:陳文亮、林麗菁、邱致豪
出版社:麥浩斯
出版日期:2024-11-21
$ 489 
金石堂 - 新書排行榜
臥底威龍(66)
作者:高橋昇
出版社:台灣東販股份有限公司
出版日期:2024-11-27
$ 103 
 

©2024 FindBook.com.tw -  購物比價  找書網  找車網  服務條款  隱私權政策