Riemannian geometry and geometric analysis /
xiv, 697 pages : illustrations ; 24 cm. - (Universitext ) Content notes : 1 Riemannian Manifolds --
2 Lie Groups and Vector Bundles --
3 The Laplace Operator and Harmonic Differential Forms --
4 Connections and Curvature --
5 Geometry of Submanifolds --
6 Geodesics and Jacobi Fields --
A Short Survey on Curvature and Topology --
7 Symmetric Spaces and Kähler Manifolds --
8 Morse Theory and Floer Homology --
9 Harmonic Maps between Riemannian Manifolds --
10 Harmonic Maps from Riemann Surfaces --
11 Variational Problems from Quantum Field Theory --
A Linear Elliptic Partial Differential Equations --
B Fundamental Groups and Covering Spaces.
