138 citations · 862 across the 82 of their papers we have counts for
9 papers · 1 filter
The branch process of the cosmic strings
Ying Jiang, Yishi Duan
In the light of -mapping method and the topological tensor current theory, the topological structure and the topological quantization of topological defects are obtained under t…
Topological current of point defects and its bifurcation
Yishi Duan, Libin Fu, Hong Zhang
From the topological properties of a three dimensional vector order parameter, the topological current of point defects is obtained. One shows that the charge of point defects is d…
The General Decomposition Theory of SU(2) Gauge Potential, Topological Structure and Bifurcation of SU(2) Chern Density
Yishi Duan, Libin Fu
By means of the geometric algebra the general decomposition of SU(2) gauge potential on the sphere bundle of a compact and oriented 4-dimensional manifold is given. Using this deco…
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…
Topological tensor current of -branes in the -mapping theory
Yishi Duan, Libin Fu, Guan Jia
We present a new general topological tensor current of -branes by making use of the -mapping theory. It is shown that the current is identically conserved and behave…
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…
Generally Covariant Conservative Energy-Momentum for Gravitational Anyons
Sze-Shiang Feng, Yi-Shi Duan
We obtain a generally covariant conservation law of energy-momentum for gravitational anyons by the general displacement transform. The energy-momentum currents have also superpote…
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…