RIGIDITY OF ISOTROPIC MAPS

Authors
CUKIERMAN F
Citation
F. Cukierman, RIGIDITY OF ISOTROPIC MAPS, Pacific journal of mathematics, 174(1), 1996, pp. 29-42
Citations number
13
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Pacific journal of mathematics → ACNP
ISSN journal
00308730
Volume
174
Issue
1
Year of publication
1996
Pages
29 - 42
Database
ISI
SICI code
0030-8730(1996)174:1<29:ROIM>2.0.ZU;2-#
Abstract
We consider a rigidity question for isotropic harmonic maps from a com pact 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.