黎曼几何 [Riemannian Geometry] pdf epub mobi txt 电子书 下载 2024

图书介绍


黎曼几何 [Riemannian Geometry]

简体网页||繁体网页
[葡] 卡莫 著



点击这里下载
    


想要找书就要到 静流书站
立刻按 ctrl+D收藏本页
你会得到大惊喜!!

发表于2024-11-22

类似图书 点击查看全场最低价

出版社: 世界图书出版公司
ISBN:9787506292184
版次:1
商品编码:10096470
包装:平装
外文名称:Riemannian Geometry
开本:24开
出版时间:2008-05-01
用纸:胶版纸
页数:300
正文语种:英语

黎曼几何 [Riemannian Geometry] epub 下载 mobi 下载 pdf 下载 txt 电子书 下载 2024

相关图书



黎曼几何 [Riemannian Geometry] epub 下载 mobi 下载 pdf 下载 txt 电子书 下载 2024

黎曼几何 [Riemannian Geometry] pdf epub mobi txt 电子书 下载



具体描述

编辑推荐

  《黎曼几何》非常值得一读。

内容简介

  The object of this book is to familiarize the reader with the basic language of and some fundamental theorems in Riemannian Geometry. To avoid referring to previous knowledge of differentiable manifolds, we include Chapter 0, which contains those concepts and results on differentiable manifolds which are used in an essential way in the rest of the book。
  The first four chapters of the book present the basic concepts of Riemannian Geometry (Riemannian metrics, Riemannian connections, geodesics and curvature). A good part of the study of Riemannian Geometry consists of understanding the relationship between geodesics and curvature. Jacobi fields, an essential tool for this understanding, are introduced in Chapter 5. In Chapter 6 we introduce the second fundamental form associated with an isometric immersion, and prove a generalization of the Theorem Egregium of Gauss. This allows us to relate the notion of curvature in Riemannian manifolds to the classical concept of Gaussian curvature for surfaces。

内页插图

目录

Preface to the first edition
Preface to the second edition
Preface to the English edition
How to use this book
CHAPTER 0-DIFFERENTIABLE MANIFOLDS
1. Introduction
2. Differentiable manifolds;tangent space
3. Immersions and embeddings;examples
4. Other examples of manifolds,Orientation
5. Vector fields; brackets,Topology of manifolds

CHAPTER 1-RIEMANNIAN METRICS
1. Introduction
2. Riemannian Metrics

CHAPTER 2-AFFINE CONNECTIONS;RIEMANNIAN CONNECTIONS
1. Introduction
2. Affine connections
3. Riemannian connections

CHAPTER 3-GEODESICS;CONVEX NEIGHBORHOODS
1.Introduction
2.The geodesic flow
3.Minimizing properties ofgeodesics
4.Convex neighborhoods

CHAPTER 4-CURVATURE
1.Introduction
2.Curvature
3.Sectional curvature
4.Ricci curvature and 8calar curvature
5.Tensors 0n Riemannian manifoids

CHAPTER 5-JACOBI FIELDS
1.Introduction
2.The Jacobi equation
3.Conjugate points

CHAPTER 6-ISOMETRIC IMMERSl0NS
1.Introduction.
2.The second fundamental form
3.The fundarnental equations

CHAPTER 7-COMPLETE MANIFoLDS;HOPF-RINOW AND HADAMARD THEOREMS
1.Introduction.
2.Complete manifolds;Hopf-Rinow Theorem.
3.The Theorem of Hadamazd.

CHAPTER 8-SPACES 0F CONSTANT CURVATURE
1.Introduction
2.Theorem of Cartan on the determination ofthe metric by mebns of the curvature.
3.Hyperbolic space
4.Space forms
5.Isometries ofthe hyperbolic space;Theorem ofLiouville

CHAPTER 9一VARIATl0NS 0F ENERGY
1.Introduction.
2.Formulas for the first and second variations of enezgy
3.The theorems of Bonnet—Myers and of Synge-WeipJtein

CHAPTER 10-THE RAUCH COMPARISON THEOREM
1.Introduction
2.Ttle Theorem of Rauch.
3.Applications of the Index Lemma to immersions
4.Focal points and an extension of Rauch’s Theorem

CHAPTER 11—THE MORSE lNDEX THEOREM
1.Introduction
2.The Index Theorem

CHAPTER 12-THE FUNDAMENTAL GROUP OF MANIFOLDS 0F NEGATIVE CURVATURE
1.Introduction
2.Existence of closed geodesics
CHAPTER 13-THE SPHERE THEOREM
References
Index

前言/序言



黎曼几何 [Riemannian Geometry] 电子书 下载 mobi epub pdf txt

黎曼几何 [Riemannian Geometry] pdf epub mobi txt 电子书 下载
想要找书就要到 静流书站
立刻按 ctrl+D收藏本页
你会得到大惊喜!!

用户评价

评分

  

评分

此用户未填写评价内容

评分

信价比还可以,书的质量不错

评分

影印版,影印效果不怎么好,还这么贵,幸好是打折了。

评分

专业性很强了,但会学下去

评分

书包装很好,服务也很满意!

评分

哎喲不錯喲

评分

不错就是全英文的

评分

  就多充一分勇士;

类似图书 点击查看全场最低价

黎曼几何 [Riemannian Geometry] pdf epub mobi txt 电子书 下载


分享链接


去京东购买 去京东购买
去淘宝购买 去淘宝购买
去当当购买 去当当购买
去拼多多购买 去拼多多购买


黎曼几何 [Riemannian Geometry] bar code 下载
扫码下载










相关图书




本站所有内容均为互联网搜索引擎提供的公开搜索信息,本站不存储任何数据与内容,任何内容与数据均与本站无关,如有需要请联系相关搜索引擎包括但不限于百度google,bing,sogou

友情链接

© 2024 windowsfront.com All Rights Reserved. 静流书站 版权所有