9780199605880 (hbk.)
IR
EN-52685
انگلیسی
IR
Differential geometry
[Book]
:bundles, connections, metrics and curvature
/ Clifford Henry Taubes
Oxford ;New York
: Oxford University Press,
, c2011.
xiii, 298 p. , ill. , 24 cm.
(Oxford mathematics)
(Oxford graduate texts in mathematics
; 23)
Electronic
Includes bibliographical references and index.
Bundles, connections, metrics and curvature are the lingua franca of modern differential geometry and theoretical physics. Supplying graduate students in mathematics or theoretical physics with the fundamentals of these objects, this book would suit a one-semester course on the subject of bundles and the associated geometry.
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 C[superscript n] as fiber -- 7. Metrics on vector bundles -- 8. Geodesics -- 9. Properties of geodesics -- 10. Principal bundles -- 11. Covariant derivatives and connections -- 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.
Oxford mathematics
Oxford graduate texts in mathematics
23
Geometry, Differential
E-BOOK
Taubes, Clifford,1954-
ایران
9780199605880.pdf
عادی
عادی
9780199605880.pdf
متن
old catalog
e
BL
1
a
Y
