1) La descarga del recurso depende de la página de origen
2) Para poder descargar el recurso, es necesario ser usuario registrado en Universia


Opción 1: Descargar recurso

Detalles del recurso

Descripción

In this paper we study the change of conformal structure induced by harmonic diffeomorphisms between Riemann surfaces. The main result of this paper is to answer the following question raised by R. Schoen (see [20]): Is it true that Riemann surfaces which are related by a surjective harmonic diffeomorphism are necessarily quasiconformally related? We show that there exists a pair of Riemann surfaces of infinite topological type, which are related by a surjective harmonic diffeomorphism but which are not quasiconformally related. Also we characterize when the above question has a positive answer in the case of Riemann surfaces of finite topological type.

Pertenece a

Caltech Authors  

Autor(es)

Markovic, Vladimir - 

Id.: 69834885

Versión: 1.0

Estado: Final

Tipo:  application/pdf - 

Tipo de recurso: Article  -  PeerReviewed  - 

Tipo de Interactividad: Expositivo

Nivel de Interactividad: muy bajo

Audiencia: Estudiante  -  Profesor  -  Autor  - 

Estructura: Atomic

Coste: no

Copyright: sí

Formatos:  application/pdf - 

Requerimientos técnicos:  Browser: Any - 

Relación: [References] http://resolver.caltech.edu/CaltechAUTHORS:20170505-160559819
[References] http://authors.library.caltech.edu/77244/

Fecha de contribución: 06-may-2017

Contacto:

Localización:
* Markovic, Vladimir (2002) Harmonic diffeomorphisms and conformal distortion of Riemann surfaces. Communications in Analysis and Geometry , 10 (4). pp. 847-876. ISSN 1019-8385 . http://resolver.caltech.edu/CaltechAUTHORS:20170505-160559819

Otros recursos del mismo autor(es)

  1. Carathéodory’s metrics on Teichmüller spaces and L-shaped pillowcases One of the most important results in Teichmüller theory is Royden’s theorem, which says that the Tei...
  2. Heat flows on hyperbolic spaces In this paper we develop new methods for studying the convergence problem for the heat flow on negat...
  3. Carathéodory’s metrics on Teichmüller spaces and $L$ -shaped pillowcases One of the most important results in Teichmüller theory is Royden’s theorem, which says that the Tei...
  4. Extending homeomorphisms of the circle to quasiconformal homeomorphisms of the disk We prove that it is not possible to extend, in a homomorphic fashion, each quasisymmetric homeomorph...
  5. Classification of continuously transitive circle groups Let [math] be a closed transitive subgroup of [math] which contains a non-constant continuous path [...

Otros recursos de la mismacolección

  1. The 1.5 Ms observing campaign on IRAS 13224−3809 – I. X-ray spectral analysis We present a detailed spectral analysis of the recent 1.5 Ms XMM–Newton observing campaign on the na...
  2. Measurements of differential cross sections of top quark pair production as a function of kinematic event variables in proton-proton collisions at √s = 13 TeV Measurements of differential tt production cross sections are presented in the single-lepton decay c...
  3. Broadband sensitization of lanthanide emission with indium phosphide quantum dots for visible to NIR downshifting Semiconductor quantum dot sensitized lanthanide ions hold great promise in producing a broadly absor...
  4. On fundamental diffraction limitation of finesse of a Fabry–Perot cavity We perform a theoretical study of finesse limitations of a Fabry–Perot (FP) cavity occurring due to ...
  5. Impact of node geometry on the effective stiffness of non-slender three-dimensional truss lattice architectures Three-dimensional (3D), lattice-based micro- and nano-architected materials can possess desirable me...

Aviso de cookies: Usamos cookies propias y de terceros para mejorar nuestros servicios, para análisis estadístico y para mostrarle publicidad. Si continua navegando consideramos que acepta su uso en los términos establecidos en la Política de cookies.