1. Riemannian Geometry      Manfredo P. do Carmo
2. Nonlinear Analysis on Manifolds,Monge Ampere Equations      Thierry Aubin         橢圓PDE與幾何分析  [ResearchGate]
3. Comparison Theorems in Riemannian Geometry      Jeff Cheeger  David G. Ebin     研究所用書
4. Riemannian Geometry      Sylvestre Gallot  Dominique Hulin  Jacques Lafontaine    研究所用書
5. Riemannian geometry and geometric analysis      Jurgen Jost                                     研究所用書
6. Lectures on Differential Geometry        Richard Schoen  Shing-Tung Yau
7. Lectures on Differential Geometry        Shlomo Sternberg
8. Lectures on Differential Geometry        S S Chern  W H Chen  K S Lam
9. Differential Geometry,Lie Groups,and Symmetric Spaces      Sigurdur Helgason
10. Lestures on geometric measure theory      Leon M. Simon     推薦 Frank Morgan  Herbert Federer的書  [ResearchGate]
11. A Comprehensive Introduction to Differential Geometry       Michael Spivak   推薦讀第一,二冊