TY  - GEN
AU  - Taubes, Clifford Henry
TI  - Differential geometry: bundles, connections, metrics and curvature
T2  -  Oxford Graduate Texts in Mathematics
SN  - 9780198961550
U1  - 516.36 TAU 
PY  - 2011///
CY  - Oxford
PB  - Oxford University Press
KW  - Mathematics
KW  - Geometry
KW  - Analytic Geometry 
KW  - Differential and Integral Geometry
KW  - Differential Topology
KW  - Differentiable Manifolds
N1  - Includes Index
N2  - Bundles, connections, metrics, and curvature are the ‘lingua franca’ of modern differential geometry and theoretical physics. Many of the tools used in differential topology are introduced and the basic results about differentiable manifolds, smooth maps, differential forms, vector fields, Lie groups, and Grassmanians are all presented here. Other material covered includes the basic theorems about geodesics and Jacobi fields, the classification theorem for flat connections, the definition of characteristic classes, and also an introduction to complex and Kähler geometry. The book uses many of the classical examples from, and applications of, the subjects it covers, in particular those where closed form expressions are available, to bring abstract ideas to life.

https://academic.oup.com/book/12200
ER  -