On Hyperbolic Metric and Invariant Beltrami Differentials for Rational Maps
Por:
Cabrera, C., Makienko, P.
Publicada:
1 jul 2018
Ahead of Print:
1 ene 2017
Categoría:
Geometry and topology
Resumen:
Given a rational map R, we consider the complement of the postcritical
set . In this paper we discuss the existence of invariant Beltrami
differentials supported on an R invariant subset X of . Under some
geometrical restrictions on X, we show the absence of invariant Beltrami
differentials with support intersecting X. In particular, we show that
if X has finite hyperbolic area, then X cannot support invariant
Beltrami differentials except in the case where R is a LattSs map.
Filiaciones:
Cabrera, C.:
Unidad Cuernavaca del Instituto de Matemáticas, UNAM, Cuernavaca, Mexico
Makienko, P.:
Unidad Cuernavaca del Instituto de Matemáticas, UNAM, Cuernavaca, Mexico
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