Einstein put forward the special theory of relativity in 1905, the general theory of relativity in 1915, and the idea of space-time bend. He revealed the unity of space and time, material and its movement, that of geometry and physics. He also discovered that special structure and nature is determined by the quality and distribution of material.

Conclusion ZENG who was the pioneer of modern algebra in China and CHEN who was the master of geometry had closely associated,thus both modern mathematics history and the history of North-west University can be known.

The 19th French mathematician Michel Chasles(1793-1880)not only did creative work in geometry, but made great achievement in the history of mathematics as well.

Einstein put forward the special theory of relativity in 1905, the general theory of relativity in 1915, and the idea of space-time bend. He revealed the unity of space and time, material and its movement, that of geometry and physics. He also discovered that special structure and nature is determined by the quality and distribution of material.

Conclusion ZENG who was the pioneer of modern algebra in China and CHEN who was the master of geometry had closely associated,thus both modern mathematics history and the history of North-west University can be known.

The 19th French mathematician Michel Chasles(1793-1880)not only did creative work in geometry, but made great achievement in the history of mathematics as well.

Motivated by the physical concept of special geometry, two mathematical constructions are studied which relate real hypersurfaces to tube domains and complex Lagrangian cones, respectively.

The theory is applied to the case of cubic hypersurfaces, which is the one most relevant to special geometry, obtaining the solution of the two classification problems and the description of the corresponding homogeneous special K?hler manifolds.

This paper is devoted to a systematic study of quantum completely integrable systems (i.e., complete systems of commuting differential operators) from the point of view of algebraic geometry.

For the flag manifoldX=G/B of a complex semi-simple Lie groupG, we make connections between the Kostant harmonic forms onG/B and the geometry of the Bruhat Poisson structure.

Cartier divisors and geometry of normalG-varieties

Motivated by the physical concept of special geometry, two mathematical constructions are studied which relate real hypersurfaces to tube domains and complex Lagrangian cones, respectively.

The theory is applied to the case of cubic hypersurfaces, which is the one most relevant to special geometry, obtaining the solution of the two classification problems and the description of the corresponding homogeneous special K?hler manifolds.

This paper is devoted to a systematic study of quantum completely integrable systems (i.e., complete systems of commuting differential operators) from the point of view of algebraic geometry.

For the flag manifoldX=G/B of a complex semi-simple Lie groupG, we make connections between the Kostant harmonic forms onG/B and the geometry of the Bruhat Poisson structure.

Cartier divisors and geometry of normalG-varieties

For the flag manifoldX=G/B of a complex semi-simple Lie groupG, we make connections between the Kostant harmonic forms onG/B and the geometry of the Bruhat Poisson structure.

Cartier divisors and geometry of normalG-varieties

Also, we discuss possible connections to the positive and cluster geometry of G/B+ × G/B-, which would generalize results of Fomin and Zelevinsky on double Bruhat cells and Marsh and Rietsch on double Schubert cells.

The effectiveness of accounting correctly for the geometry of the sphere in the wavelet analysis of full-sky CMB data is demonstrated by the highly significant detections of physical processes and effects that are made in these reviewed works.

Geometry of exponential type regression models and its asymptotic inference

As the founder of the Nankai Institute of Mathematics, S. S. Chern is former director of the Mathematical Sciences Research Institute (Berkeley,California, USA),member of the National Acadmey of Sciences, USA,foreign member of the Royal Society in London, and foreign academician of Academia Sinica. He is well-known in the world for his outstanding work in geometry and topology. He was awarded the National Medal of Science (USA) and the Wolf Prize. He is a great geometrician of the twentieth century. This paper...

As the founder of the Nankai Institute of Mathematics, S. S. Chern is former director of the Mathematical Sciences Research Institute (Berkeley,California, USA),member of the National Acadmey of Sciences, USA,foreign member of the Royal Society in London, and foreign academician of Academia Sinica. He is well-known in the world for his outstanding work in geometry and topology. He was awarded the National Medal of Science (USA) and the Wolf Prize. He is a great geometrician of the twentieth century. This paper narrates his life, academic achievements and his contribution to the mathematical cause in China.

As the founder of the Nankai Institute of Mathematics, S. S. Chern is member of the National Academey of Sciences. USA, and foreign academician of Academia Sinica. He is well- known in the world for his outstanding work in geometry and topology. He was awarded the Wolf Prize. This Paper reviews his mathematical outstanding accomplishment and inquires into his mathematical thought.

Einstein put forward the special theory of relativity in 1905, the general theory of relativity in 1915, and the idea of space-time bend. He revealed the unity of space and time, material and its movement, that of geometry and physics. He also discovered that special structure and nature is determined by the quality and distribution of material.