Arc length as a global conformal parameter for analytic curves
نویسندگان
چکیده
منابع مشابه
Spherical Arc-length as a Global Conformal Parameter for Analytic Curves in the Riemann Sphere
We prove that for every analytic curve in the complex plane C, Euclidean and spherical arc-lengths are global conformal parameters. We also prove that for any analytic curve in the hyperbolic plane, hyperbolic arc-length is also a global parameter. We generalize some of these results to the case of analytic curves in R and C and we discuss the situation of curves in the Riemann sphere C ∪ {∞}. ...
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 2017
ISSN: 0022-247X
DOI: 10.1016/j.jmaa.2016.02.031