Chen Shengshen (19 1 1 year1kloc-0/October 28th-February 3rd, 2004 12) is a Chinese American mathematician and differential geometer. Academician of National Academy of Sciences of China Academy of Sciences, foreign academician of French Academy of Sciences, Italian National Academy of Sciences, Royal Society of England and China Academy of Sciences. Combining differential geometry and topological methods, Chen Shengshen has successively completed two epoch-making important works: one is the generalized Gauss-Bonner formula of Riemannian manifold, and the other is the indicator theory of Hermite manifold. Some concepts, methods and tools he introduced have gone far beyond the scope of differential geometry and topology and become an important part of modern mathematics. Another important mathematical work by Chen Shengshen includes: tight immersion and tight immersion, which he and R. Leshev started over 30 years, and their achievements have been compiled into monographs. One of the famous results of complex geometry of value distribution of complex variable function is Chen-Porter theorem. Hypersurface matching Yan Zhida of integral geometric motion formula. Chen Mo Ze's theory of real hypersurfaces on complex manifolds is the basis of the theory of complex variable functions. Minimal surface and harmonic mapping. Chen-Simmons differential formula is the basic tool of quantum mechanical anomalies.