poincare manifold
1.Poincare-Bertrand Formula of Singular Integral on a Closed Piecewise Smooth Manifold
2.According to the idea of complex analysis in several variables,the Poincare′-Bertrand trans formation formula of the singular integral with exchange factor kernel on characteristic manifold in Clifford analysis was considered. Using this formula,the singular integral equation with exchange factor kernel on characteristic manifold was discussed. At last, the solvability of the equation under certain conditions were gotten.
3.In this paper, we expand the well-known Poincare- Bertrand formula in the complex function theory to the general replacement formula of singular integral of Bochner-Martinelli type which contains the solid angle coefficients α(ζ) of the point ζ on a closed piecewise C(1) smooth manifold.
