Unbounded components in parameter space of rational maps

Author:
Peter M. Makienko

Journal:
Conform. Geom. Dyn. **4** (2000), 1-21

MSC (2000):
Primary 37F45; Secondary 37F30

DOI:
https://doi.org/10.1090/S1088-4173-00-00044-8

Published electronically:
February 23, 2000

MathSciNet review:
1741344

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Abstract | References | Similar Articles | Additional Information

Using pinching deformations of Riemann surfaces, we give several sufficient criteria for the space of quasiconformal deformations of rational map of degree to have non-compact closure in the space of rational maps of degree modulo conjugation by Möbius transformations.

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Additional Information

**Peter M. Makienko**

Affiliation:
Institute for Applied Mathematics, Shevchenko str. 9, Khabarovsk, 680 000, Russia

Address at time of publication:
Instituto de Matematicas Unidad Cuernavaca, Universidad Nacional Autonoma de Mexico, A.P. 273-3 Admon. de Correos #3, 62251 Cuernavaca, Morelos, Mexico

Email:
makienko@iam.khv.ru, makienko@matcuer.unam.mx

DOI:
https://doi.org/10.1090/S1088-4173-00-00044-8

Received by editor(s):
December 27, 1998

Received by editor(s) in revised form:
September 14, 1999

Published electronically:
February 23, 2000

Additional Notes:
This work has been partially supported by the Russian Fund of Basic Researches, Grant 99-01-01006

Article copyright:
© Copyright 2000
American Mathematical Society