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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Publicado: 1996
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00308730_v174_n1_p29_Cukierman
http://hdl.handle.net/20.500.12110/paper_00308730_v174_n1_p29_Cukierman
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id paper:paper_00308730_v174_n1_p29_Cukierman
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spelling paper:paper_00308730_v174_n1_p29_Cukierman2023-06-08T14:56:33Z 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 results about rigidity and rigidity up to finitely many choices. 1996 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00308730_v174_n1_p29_Cukierman 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.
title Rigidity of isotropic maps
spellingShingle 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
publishDate 1996
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00308730_v174_n1_p29_Cukierman
http://hdl.handle.net/20.500.12110/paper_00308730_v174_n1_p29_Cukierman
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