半个多世纪以来，黎曼几何一直是数学的主流，各种黎曼几何书籍汗牛充栋，除了陈老爷子（陈省身）的书外，不得不提到以下三本书：

Riemannian Geometry and Geometric Analysis, 4nd,by J. Jost, Universitext, Springer,
New York, 2008,

Riemannian Geometry, by P. Petersen, Graduate Texts in Mathematics, vol. 171,
Springer-Verlag, New York, 1998,

Riemannian Geometry, by T. Sakai, Translations of Math. Monographs, vol. 149,
Amer.Math. Soc., Providence, RI,1995

下面是BULLETIN (New Series) OF THE AMERICAN MATHEMATICAL SOCIETY上的有关这三本书的一篇评论文章，我认为写的比较好，拿出来与大家一同分享！