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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Detalles Bibliográficos
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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Descripción
Sumario: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.