橢圓(非線性)PDE Riemann manifold , Symplectic manifold
Riemannian geometry and geometric Analysis jurgen Jost 著作等身
第一章 Remannian Manifolds 1.6 heat flow method
第二章 Lie groups and Vector Bundles
第三章 The Laplace Operator and Harmonic Differential Forms
第四章 Connections and Curvature
第五章 Geometry of Submanifolds
第六章 Geodesic and Jacobi Fields
第七章 Symmetric Spaces and Kahler Manifolds
第八章 Morse Theory and Floer Homology
第九章 Hamonic Maps between Riemannian Manifolds
第十章 Harmonic Maps from Riemann Surfaces
第11章 Variational problems from Quntum Field Theory