Rigidity of isotropic maps

Fernando Cukierman

Vol. 174 (1996), No. 1, 29–42

DOI: 10.2140/pjm.1996.174.29

Abstract

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.

Mathematical Subject Classification 2000

Primary: 30F15

Milestones

Received: 14 January 1994

Published: 1 May 1996