《在陈省身先生影响下的微分几何》是献给20世纪最伟大的几何学家之一陈省身先生100周年诞辰的纪念文集。它包括了世界各地的数学家、特别是华人数学家的优秀研究文章。这些文章评述了陈省身先生所研究领域的目前状况，并讨论未来的发展方向，r8容涵盖了Gauss—Bonnet公式、共形几何、CR几何、流形、Ricci流、Einstein度量、等参超曲面、比较定理.Tits厦等方面。　　《在陈省身先生影响下的微分几何》适合研究生和年轻的数学工作者阅读，其他读者亦可从中找到相关领域的有价值的信息。

Jianguo Cao and Hongyan Tang:Gauss-Bonnet-Chern Formulae andRelated Topics for Curved Riemannian Manifolds
Sun-Yung A.Chang and Paul Yang:Progress in Conformal Geometry
Fuquan Fang and Zhenlei Zhang:Long Term Solutions of NormalizedRicci Flow
Jianquan Ge and Zizhou Tang:Chern Conjecture and IsoparametricHypersurfaces
Hui-Ling Gu and Xi-Ping Zhu:On the Classification of K(a)hlerManifolds with Positive Bisectional Curvature
Enli Guo,Xiaohuan Mo and Xiaoyang Wang:On Projectively Flat FinslerMetrics
Lizhen Ji:Buildings and Their Applications in Geometry andTopology
Shanyu Ji:Spherical CR Geometry and Holomorphically ImmersedSpheres
Guji Tian and Xu-Jia Wang:A Perturbation Method for Elliptic andParabolic Equations
McKenzie Y.-K.Wang:Einstein Metrics from Symmetry and BundleConstructions:A Sequel
Guofang Wei:Volume Comparison and Its Generalizations
Xiaohua Zhu:K(a)hler-Ricci Flow on a Toric Manifold with PositiveFirst Chern Class