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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

An inequality for harmonic maps of compact Kähler manifolds that implies holomorphicity


Author: James F. Glazebrook
Journal: Proc. Amer. Math. Soc. 107 (1989), 261-269
MSC: Primary 58E20
MathSciNet review: 975643
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Abstract: For harmonic maps of equidimensional compact Kähler manifolds satisfying certain conditions, a Chern class inequality is stated. If the map satisfies this inequality, it is holomorphic. The main result may be compared with a theorem of Eells and Wood for compact Riemann surfaces.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1989-0975643-2
PII: S 0002-9939(1989)0975643-2
Keywords: Harmonic maps, pluriharmonic maps, holomorphic maps, Kähler manifolds, strongly seminegative curvature, Chern class, Kodaira surface
Article copyright: © Copyright 1989 American Mathematical Society