Isometric Embedding of Riemannian Manifolds in Euclidean Spaces 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024

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Qing Han 作者

American Mathematical Society

译者

2006-10-10 出版日期

260 页数

USD 77.00 价格

Hardcover

Mathematical Surveys and Monographs 丛书系列

9780821840719 图书编码

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Isometric Embedding of Riemannian Manifolds in Euclidean Spaces 在线电子书 epub 下载 mobi 下载 pdf 下载 txt 下载 2024

Isometric Embedding of Riemannian Manifolds in Euclidean Spaces 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024

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Isometric Embedding of Riemannian Manifolds in Euclidean Spaces 在线电子书著者简介

Isometric Embedding of Riemannian Manifolds in Euclidean Spaces 在线电子书图书目录

Isometric Embedding of Riemannian Manifolds in Euclidean Spaces 在线电子书 pdf 下载 txt下载 epub 下载 mobi 在线电子书下载

Isometric Embedding of Riemannian Manifolds in Euclidean Spaces 在线电子书图书描述

The question of the existence of isometric embeddings of Riemannian manifolds in Euclidean space is already more than a century old. This book presents, in a systematic way, results both local and global and in arbitrary dimension but with a focus on the isometric embedding of surfaces in R3. The emphasis is on those PDE techniques which are essential to the most important results of the last century. The classic results in this book include the Janet-Cartan Theorem, Nirenberg's solution of the Weyl problem, and Nash's Embedding Theorem, with a simplified proof by GÃ¼nther. The book also includes the main results from the past twenty years, both local and global, on the isometric embedding of surfaces in Euclidean 3-space. The work will be indispensable to researchers in the area. Moreover, the authors integrate the results and techniques into a unified whole, providing a good entry point into the area for advanced graduate students or anyone interested in this subject. The authors avoid what is technically complicated. Background knowledge is kept to an essential minimum: a one-semester course in differential geometry and a one-year course in partial differential equations.

http://www.amazon.com/Isometric-Embedding-Riemannian-Mathematical-Monographs/dp/0821840711

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