|
|
libcats.org
Cartan for beginners: differential geometry via moving framesThomas A. Ivey, J. M. LandsbergThis 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:
Проектирование и строительство. Дом, квартира, садАвтор: Петер Нойферт, Автор: Людвиг Нефф
Размер книги: 20.83 Mb
Система упражнений по развитию способностей человека (Практическое пособие)Автор: Петров Аркадий НаумовичКатегория: Путь к себе
Размер книги: 818 Kb
Сотворение мира (3-х томник)Автор: Петров Аркадий НаумовичКатегория: Путь к себе
Размер книги: 817 Kb
Радиолюбительские схемы на ИС типа 555Автор: Трейстер Р.Категория: Электротехника и связь
Размер книги: 13.64 Mb
Только что пользователи скачали эти книги:
Schaum's Outline of Software EngineeringАвтор: David GustafsonКатегория: Computer Science, Methodology
Размер книги: 2.21 Mb
Gardening When It Counts: Growing Food in Hard Times (Mother Earth News Wiser Living Series)Автор: Steve Solomon
Размер книги: 34.12 Mb
Formal Methods for Components and Objects: Third International Symposium, FMCO 2004, Leiden, The Netherlands, November 2-5, 2004, Revised LecturesАвтор: Frank S. de Boer, Автор: Marcello M. Bonsangue, Автор: Susanne Graf, Автор: Willem-Paul de Roever
Размер книги: 3.47 Mb
Atlas of Urinary Cytopathology With Histopathologic CorrelationsАвтор: Syed Z. Ali, Автор: MD, Автор: Dorothy L. Rosenthal, Автор: Tehmina Z. Ali, Автор: Jonathan I. EpsteinКатегория: Математика, Математическая логика
Размер книги: 34.18 Mb
Vegan for Life: Everything You Need to Know to Be Healthy and Fit on a Plant-Based DietАвтор: Jack Norris, Автор: Virginia Messina
Размер книги: 1.74 Mb
The Council of Dads, My Daughters, My Illness, and the Men Who Could Be MeАвтор: Feiler BruceКатегория: fiction
Размер книги: 352 Kb
|
|
|