138 citations · 862 across the 82 of their papers we have counts for
5 papers · 1 filter
Inner topological structure of Hopf invariant
Ji-Rong Ren, Ran Li, Yi-Shi Duan
In light of -mapping topological current theory, the inner topological structure of Hopf invariant is investigated. It is revealed that Hopf invariant is just the winding number…
A New Route to the Interpretation of Hopf Invariant
Ji-rong Ren, Ran Li, Yi-shi Duan
We discuss an object from algebraic topology, Hopf invariant, and reinterpret it in terms of the -mapping topological current theory. The main purpose in this paper is to presen…
Inner structure of Gauss-Bonnet-Chern Theorem and the Morse theory
Yi-shi Duan, Peng-ming Zhang
We define a new one form H^A based on the second fundamental tensor H^abA, the Gauss-Bonnet-Chern form can be novelly expressed with this one-form. Using the phi-mapping theory we…
Spinor Decomposition of SU(2) Gauge Potential and The Spinor Structures of Chern-Simons and Chern Density
Yi-shi Duan, Xin Liu, Li-bin Fu
In this paper, the decomposition of SU(2) gauge potential in terms of Pauli spinors is studied. Using this decomposition, the spinor strutures of the Chern-Simons form and the Cher…
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…