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Caratheodory convergence of log-Riemann surfaces and Euler's formula
Caratheodory convergence log-Riemann surfaces Euler's formula
2010/11/9
We define the notion of log-Riemann surfaces and Caratheodory convergence of log-Riemann surfaces. We prove a convergence theorem for uniformizations of simply connected log-Riemann surfaces convergin...
n-point functions of holomorphic fields in rational conformal field theories can be calculated by methods from complex analysis. We establish explicit formulas for the 2-point functions of the Viraso...
In this paper, we first define a kind of pseudo-distance function and annulus domain on Riemann surfaces, then prove the Hadamard Theorem and the Borel--Carath\'eodory Theorem on any Riemann surfaces....