The Gauss Map and Nonholomorphic Harmonic Maps

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 Jan 1983Publisher:JSTORJournal:Proceedings of the American Mathematical Society, volume 89, page 661 (issn: 0002-9939,

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Authors: Ishihara, Toru;

doi: 10.2307/2044602 , 10.1090/s0002-9939-1983-0718993-1

The Gauss Map and Nonholomorphic Harmonic Maps

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Abstract

J. Eells and J. C. Wood [2] gave the fundamental method of construction of certain harmonic maps from Riemann surfaces to complex projective spaces. In this paper, we will construct nonholomorphic harmonic maps of Kaehler manifolds to complex Grassmann manifolds as the Gauss maps for holomorphic immersions of Kaehler manifolds to complex projective spaces.

Keywords

Gauss map, Global submanifolds, holomorphic immersion, Hodge manifolds, Global differential geometry of Hermitian and Kählerian manifolds, Harmonic maps, etc., Kähler manifold

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