掃一掃
關(guān)注中圖網(wǎng)
官方微博
包郵 雙曲幾何講義-(影印版)
作者：本尼迪特
開(kāi)本：
24開(kāi)
頁(yè)數(shù)：
330
讀者評(píng)分：5分1條評(píng)論
本類(lèi)榜單：自然科學(xué)銷(xiāo)量榜
本類(lèi)五星書(shū)更多>
-
>
宇宙、量子和人類(lèi)心靈
-
>
氣候文明史
-
>
南極100天
-
>
考研數(shù)學(xué)專(zhuān)題練1200題
-
>
希格斯:“上帝粒子”的發(fā)明與發(fā)現(xiàn)
-
>
神農(nóng)架疊層石:10多億年前遠(yuǎn)古海洋微生物建造的大堡礁
-
>
聲音簡(jiǎn)史
中圖價(jià):¥48.3
加入購(gòu)物車(chē)
雙曲幾何講義-(影印版) 版權(quán)信息
- ISBN：9787510046322
- 條形碼：9787510046322 ; 978-7-5100-4632-2
- 裝幀：一般膠版紙
- 冊(cè)數(shù)：暫無(wú)
- 重量：暫無(wú)
- 所屬分類(lèi)：>>
雙曲幾何講義-(影印版) 本書(shū)特色
Riccardo Benedetti、Carlo Petronio所著的《雙曲幾何講義》是一部講述雙曲幾何的本科生教程，重點(diǎn)強(qiáng)調(diào)雙曲流形上的幾何。旨在為讀者全面講述基礎(chǔ)結(jié)果，獨(dú)立性強(qiáng)，完整，詳盡，自成體系。在講述雙曲空間的經(jīng)典材料和Teichmüller空間之后，接著以Mostow 剛性定理和Margulis定理這兩個(gè)基本結(jié)論為核心展開(kāi)講述。這些形成了學(xué)習(xí)Chabauty和幾何拓?fù)涞幕A(chǔ)；并且深入全面地剖析了Wang定理和 Jorgensen-Thurston 理論，給予講述三維例子很大的空間；同時(shí)，以依附于理想四面體的三流形表示為基礎(chǔ)，全面介紹了雙曲手術(shù)定理。
雙曲幾何講義-(影印版) 內(nèi)容簡(jiǎn)介
one of the main themes of this book is the conflict between the "flexibility' and the "rigidity properties of the hyperbolic manifolds： the first radical difference arises between the case of dimension 2 and the case of higher dimensions （as proved in chapters b and c）， an elementary feature of thus phenomenon being the difference between the riemann mapping theorem and liouville's theorem， as pointed out in chapter a. thus chapter is rather clementary and most of its material may' be the object of an undergraduate course. together with the rigidity theorem， a basic tool for the study of hyperbolic manifolds is margulis' lemma， a detailed proof of which we give in chapter d; as a consequence of this result in the same chapter we also give a rather accurate description， in all dimensions， of the thin-thick decomposition of a hyperbolic manifold （especially in case of finite volume）.
雙曲幾何講義-(影印版) 目錄
preface
chapter a.hyperbolic space
a.1 models for hyperbolic space
a.2 isometries of hyperbolic space: hyperboloid model
a.3 conformal geometry
a.4 isometries of hyperbolic space: disc and half-space models
a.5 geodesics, hyperbolic subspaces and misceuaneo,s facts
a.6 curvature of hyperbolic space
chapter b.hyperbolic manifolds and the compact two-dimensional case
b.1 hyperbolic, elliptic and flat manifolds
b.2 topology of compact oriented surfaces
b.3 hyperbolic, elliptic and flat surfaces
b.4 teichmiiller space
chapter c.the rigidity theorem (compact case)
c.1 first step of the proof: extension of pseudo-isometrics
chapter a.hyperbolic space
a.1 models for hyperbolic space
a.2 isometries of hyperbolic space: hyperboloid model
a.3 conformal geometry
a.4 isometries of hyperbolic space: disc and half-space models
a.5 geodesics, hyperbolic subspaces and misceuaneo,s facts
a.6 curvature of hyperbolic space
chapter b.hyperbolic manifolds and the compact two-dimensional case
b.1 hyperbolic, elliptic and flat manifolds
b.2 topology of compact oriented surfaces
b.3 hyperbolic, elliptic and flat surfaces
b.4 teichmiiller space
chapter c.the rigidity theorem (compact case)
c.1 first step of the proof: extension of pseudo-isometrics
展開(kāi)全部
商品評(píng)論(1條)
書(shū)友推薦
- >
姑媽的寶刀
- >
推拿
- >
企鵝口袋書(shū)系列·偉大的思想20:論自然選擇(英漢雙語(yǔ))
- >
大紅狗在馬戲團(tuán)-大紅狗克里弗-助人
- >
山海經(jīng)
- >
煙與鏡
- >
自卑與超越
- >
龍榆生：詞曲概論/大家小書(shū)
本類(lèi)暢銷(xiāo)
