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arxiv: 1402.5741 · v1 · pith:EPHUYETZnew · submitted 2014-02-24 · 🧮 math.DG

Holomorphic Riemannian maps

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keywords holomorphicmanifoldsmapsriemannianalmosthermitiancharacterizationexamples
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We introduce holomorphic Riemannian maps between almost Hermitian manifolds as a generalization of holomorphic submanifolds and holomorphic submersions, give examples and obtain a geometric characterization of harmonic holomorphic Riemannian maps from almost Hermitian manifolds to Kaehler manifolds.

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