In an unpublished manuscript, Prof. Hua Luogeng (L. K. Hua) suggested a direct method to attack Goldbach problem which is entirely new and different from the classical circle method and the sieve method. His idea is t...In an unpublished manuscript, Prof. Hua Luogeng (L. K. Hua) suggested a direct method to attack Goldbach problem which is entirely new and different from the classical circle method and the sieve method. His idea is to use a very elementary result concerning R(N; a, b)——the number of nonnegative solutions of Diophantine equation,展开更多
Two injectivity theorems are proved which are for objective manifold N = CPn and V = Bn ( unit ball), both equipped with canonical metric. Thus, the injectivity theorems are established in three cases of objective man...Two injectivity theorems are proved which are for objective manifold N = CPn and V = Bn ( unit ball), both equipped with canonical metric. Thus, the injectivity theorems are established in three cases of objective manifolds, i.e. with different holomorphic sectional curvatures -1,0 and 1 respectively.展开更多
文摘In an unpublished manuscript, Prof. Hua Luogeng (L. K. Hua) suggested a direct method to attack Goldbach problem which is entirely new and different from the classical circle method and the sieve method. His idea is to use a very elementary result concerning R(N; a, b)——the number of nonnegative solutions of Diophantine equation,
基金Project supported by the National Natural Science Foundation of China and partially supported by the Laboratory of Management,Decision and Information System,the Chinese Academy of Sciences.
文摘Two injectivity theorems are proved which are for objective manifold N = CPn and V = Bn ( unit ball), both equipped with canonical metric. Thus, the injectivity theorems are established in three cases of objective manifolds, i.e. with different holomorphic sectional curvatures -1,0 and 1 respectively.
