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

Glazebrook, James F.

doi:10.1090/S0002-9939-1989-0975643-2

An inequality for harmonic maps of compact Kähler manifolds that implies holomorphicity
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by James F. Glazebrook PDF

Proc. Amer. Math. Soc. 107 (1989), 261-269 Request permission

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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