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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Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_00308730_v174_n1_p29_Cukierman |
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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 |
_version_ |
1807322215745585152 |