Differential geometry: bundles, connections, metrics and curvature
Taubes, Clifford Henry
Bundles, connections, metrics & curvature are the lingua franca of modern differential geometry & theoretical physics. Supplying graduate students in mathematics or theoretical physics with the fundamentals of these objects, & providing numerous examples, the book would suit a one-semester course on the subject of bundles & the associated geometry INDICE: 1: Smooth manifolds; 2: Matrices and Lie groups; 3: Introduction to vector bundles; 4: Algebra of vector bundles; 5: Maps and vector bundles; 6:Vector bundles with fiber C]n; 7: Metrics on vector bundles; 8: Geodesics; 9:Properties of geodesics; 10: Principal bundles; 11: Covariant derivatives andconnections; 12: Covariant derivatives, connections and curvature; 13: Flat connections and holonomy; 14: Curvature polynomials and characteristic classes;15: Covariant derivatives and metrics; 16: The Riemann curvature tensor; 17: Complex manifolds; 18: Holomorphic submanifolds, holomorphic sections and curvature; 19: The Hodge star; Indexed list of propositions by subject; Index
- ISBN: 978-0-19-960588-0
- Editorial: Oxford University
- Encuadernacion: Cartoné
- Páginas: 304
- Fecha Publicación: 01/04/2011
- Nº Volúmenes: 1
- Idioma: Inglés