Rigidity of isotropic maps

We consider a rigidity question for isotropic harmonic maps from a compact Riemann surface to a complex projective space. In the case of the projective plane, we prove that ridigity holds if the degree is small in relation to the genus. For a projective space of any dimension we obtain coarser resul...

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Autor principal: Cukierman, F.
Formato: JOUR
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_00308730_v174_n1_p29_Cukierman
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spelling todo:paper_00308730_v174_n1_p29_Cukierman2023-10-03T14:40:45Z Rigidity of isotropic maps Cukierman, F. We consider a rigidity question for isotropic harmonic maps from a compact Riemann surface to a complex projective space. In the case of the projective plane, we prove that ridigity holds if the degree is small in relation to the genus. For a projective space of any dimension we obtain coarser results about rigidity and rigidity up to finitely many choices. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_00308730_v174_n1_p29_Cukierman
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
description We consider a rigidity question for isotropic harmonic maps from a compact Riemann surface to a complex projective space. In the case of the projective plane, we prove that ridigity holds if the degree is small in relation to the genus. For a projective space of any dimension we obtain coarser results about rigidity and rigidity up to finitely many choices.
format JOUR
author Cukierman, F.
spellingShingle Cukierman, F.
Rigidity of isotropic maps
author_facet Cukierman, F.
author_sort Cukierman, F.
title Rigidity of isotropic maps
title_short Rigidity of isotropic maps
title_full Rigidity of isotropic maps
title_fullStr Rigidity of isotropic maps
title_full_unstemmed Rigidity of isotropic maps
title_sort rigidity of isotropic maps
url http://hdl.handle.net/20.500.12110/paper_00308730_v174_n1_p29_Cukierman
work_keys_str_mv AT cukiermanf rigidityofisotropicmaps
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