Four-Dimensional Manifolds and Projective StructureКНИГИ » НАУКА И УЧЕБА
Название: Four-Dimensional Manifolds and Projective Structure Автор: Graham Hall Издательство: CRC Press Год: 2023 Страниц: 285 Язык: английский Формат: pdf (true) Размер: 10.2 MB
Four-Dimensional Manifolds and Projective Structure may be considered ?rst as an introduction to differential geometry and, in particular, to 4-dimensional manifolds, and secondly as an introduction to the study of projective structure and projective relatedness in manifolds.
The initial chapters mainly cover the elementary aspects of set theory, linear algebra, topology, Euclidean geometry, manifold theory and differential geometry, including the idea of a metric and a connection on a manifold and the concept of curvature. After this, the author dives deeper into 4-dimensional manifolds and, in particular, the positive definite case for the metric. The book also covers Lorentz signature and neutral signature in detail and introduces, and makes use of, the holonomy group of such a manifold for connections associated with metrics of each of these three possible signatures. A brief interlude on some key aspects of geometrical symmetry precedes a detailed description of projective relatedness, that is, the relationship between two symmetric connections (and between their associated metrics) which give rise to the same geodesic paths.
Features:
Offers a detailed, straightforward discussion of the basic properties of (4-dimensional) manifolds. Introduces holonomy theory, and makes use of it, in a novel manner. Suitable for postgraduates and researchers, including master’s and PhD students.
Скачать Four-Dimensional Manifolds and Projective Structure
Differential Geometry Название: Differential Geometry Автор: Victor V. Prasolov Издательство: Springer Год: 2022 Формат: ePUB, PDF Страниц: 278 Размер: 17 Mb Язык: English...
Introduction to Differential Geometry Название: Introduction to Differential Geometry Автор: Joel W. Robbin, Dietmar A. Salamon Издательство: Springer Год: 2022 Формат: PDF Страниц: 426...
Topology of Infinite-Dimensional Manifolds Название: Topology of Infinite-Dimensional Manifolds Автор: Katsuro Sakai Издательство: Springer Год: 2020 Формат: PDF Страниц: 631 Размер: 14,34 МБ...
Differential Geometry of Manifolds, Second Edition Название: Differential Geometry of Manifolds, Second Edition Автор: Stephen Lovett Издательство: CRC Press Год: 2020 Формат: PDF Страниц: 451 Размер:...
Introduction to Symplectic Geometry Название: Introduction to Symplectic Geometry Автор: Jean-Louis Koszul and Yi Ming Zou Издательство: Springer Год: 2019 Формат: EPUB, PDF Размер: 22...
Навигация
Вход на сайт
Реклама
Four-Dimensional Manifolds and Projective Structure 
Название: Four-Dimensional Manifolds and Projective Structure
