libcats.org
Главная

Cartan for beginners: differential geometry via moving frames

Обложка книги Cartan for beginners: differential geometry via moving frames

Cartan for beginners: differential geometry via moving frames

,
This book is an introduction to Cartan's approach to differential geometry. Two central methods in Cartan's geometry are the theory of exterior differential systems and the method of moving frames. This book presents thorough and modern treatments of both subjects, including their applications to both classic and contemporary problems.

It begins with the classical geometry of surfaces and basic Riemannian geometry in the language of moving frames, along with an elementary introduction to exterior differential systems. Key concepts are developed incrementally with motivating examples leading to definitions, theorems, and proofs.

Once the basics of the methods are established, the authors develop applications and advanced topics. One notable application is to complex algebraic geometry, where they expand and update important results from projective differential geometry.

The book features an introduction to $G$-structures and a treatment of the theory of connections. The Cartan machinery is also applied to obtain explicit solutions of PDEs via Darboux's method, the method of characteristics, and Cartan's method of equivalence.

Популярные книги за неделю:

Издание 'Сделай сам'. 1999 № 02 (DjVU)

Автор:
Размер книги: 3.94 Mb

О физической природе шаровой молнии

Автор:
Категория: science, science, exact
Размер книги: 5.03 Mb

Ключ к сверхсознанию

Автор:
Категория: Путь к себе
Размер книги: 309 Kb

Технология солода и пива

Автор:
Категория: Tech
Размер книги: 113.31 Mb

Древо жизни

Автор:
Категория: Путь к себе
Размер книги: 1.70 Mb

Как обставить квартиру

Автор:
Категория: color, graph, house, home
Размер книги: 4.92 Mb
Только что пользователи скачали эти книги:

The Night Blitz 1940-1941

Автор:
Категория: ВОЕННАЯ ИСТОРИЯ
Размер книги: 96.40 Mb

The Economic Analysis of Public Policy

Автор:
Категория: Экономика
Размер книги: 5.86 Mb

The Transmission of Affect

Автор:
Размер книги: 4.85 Mb

Organic Chemistry: Structure and Function, 6th Edition

Автор: , Автор:
Размер книги: 57.68 Mb

Touchy Subjects

Автор:
Категория: fiction
Размер книги: 147 Kb

Chris Wooding - 03 Ascendancy Veil

Автор:
Категория: Science Fiction
Размер книги: 387 Kb