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The second Chern class in Spinning System
Yishi Duan, Libin Fu, Xin Liu
Topological property in a spinning system should be directly associated with its wavefunction. A complete decomposition formula of SU(2) gauge potential in terms of spinning wavefu…
Topological quantum mechanics and the first Chern class
Yishi Duan, Libin Fu, Hong Zhang
Topological properties of quantum system is directly associated with the wave function. Based on the decomposition theory of gauge potential, a new comprehension of topological qua…
Decomposition Theory of Spin Connection and Topological Structure of Gauss-Bonnet-Chern Theorem on Manifold With Boundary
Sheng Li, Yishi Duan
The index theorem of Euler-Poincaré characteristic of manifold with boundary is given by making use of the general decomposition theory of spin connection. We shows the sum of the…
The relations among two transversal submanifolds and global manifold
Guo-Hong Yang, Guang-Jiong Ni, Yi-Shi Duan
In Riemann geometry, the relations among two transversal submanifolds and global manifold are discussed. By replacing the normal vector of a submanifold with the tangent vector of…