Remote Access Proceedings of the American Mathematical Society
Green Open Access

Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

On the holomorphicity of harmonic maps from compact Kähler manifolds to hyperbolic Riemann surfaces


Author: Kaoru Ono
Journal: Proc. Amer. Math. Soc. 102 (1988), 1071-1076
MSC: Primary 58E20; Secondary 32H20, 53C55, 58C10
DOI: https://doi.org/10.1090/S0002-9939-1988-0934892-9
MathSciNet review: 934892
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: We give a sufficient condition in order that a harmonic map from a compact Kähler manifold with negative first Chern class to a compact hyperbolic Riemann surface be $ \pm$ holomorphic. The above condition generalizes that of Eells and Wood concerning harmonic maps between Riemann surfaces. As a corollary we get a generalization of Kneser's theorem.


References [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 58E20, 32H20, 53C55, 58C10

Retrieve articles in all journals with MSC: 58E20, 32H20, 53C55, 58C10


Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1988-0934892-9
Keywords: Harmonic map, holomorphic map, Kähler manifold, Einstein-Hermitian vector bundle, semistable vector bundle
Article copyright: © Copyright 1988 American Mathematical Society