Название: Differential Geometry: Manifolds, Bundles and Characteristic Classes (Book I-A)
Автор: Elisabetta Barletta , Sorin Dragomir , Mohammad Hasan Shahid , Falleh R. Al-Solamy
Издательство: Springer
Год выхода: 2025
Страниц: 586
Формат: True PDF, ePUB
Размер: 59,8 MB
Язык: английский
• Discusses the linear connections: parallel translation, exponential mappings, normal coordinates, and holonomy groups
• Reviews Sobolev inequalities in the Euclidean setting and how they carry over to Riemannian manifolds
• Presents the advanced topics in DG: characteristic classes and holonomy theory to the geometry of characteristic classes
This book, Differential Geometry: Manifolds, Bundles and Characteristic Classes (Book I-A), is the first in a captivating series of four books presenting a choice of topics, among fundamental and more advanced, in differential geometry (DG), such as manifolds and tensor calculus, differentiable actions and principal bundles, parallel displacement and exponential mappings, holonomy, complex line bundles and characteristic classes.