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JOURNALS // Zhurnal Matematicheskoi Fiziki, Analiza, Geometrii [Journal of Mathematical Physics, Analysis, Geometry] // Archive

Zh. Mat. Fiz. Anal. Geom., 2014 Volume 10, Number 4, Pages 422–429 (Mi jmag603)

This article is cited in 5 papers

Holomorphic Riemannian Maps

B. Şahin

Inonu University, Faculty of Science and Art, Department of Mathematics, 44280 Malatya,Turkey

Abstract: 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 Kähler manifolds.

Key words and phrases: Riemannian submersion, holomorphic submersion, holomorphic submanifold, holomorphic Riemannian map.

MSC: 53C15, 53C43

Received: 02.07.2012

Language: English

DOI: 10.15407/mag10.04.422



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