Implicitly defined harmonic PHH submersions
type: Item
instance of: scholarly article
title: Implicitly defined harmonic PHH submersions
zbMATH Open document ID: 0938.53035
published in: Manuscripta Mathematica
publication date: 1999-12-19T00:00:00Z
review text: The notion of harmonic pseudo-horizontally homothetic submersions is a special case of the concept of pseudo-harmonic morphisms. More geometrically, this is a smooth family of minimal submanifolds indexed by a Kähler parameter manifold. This paper gives some results on how to obtain harmonic pseudo-horizontally homothetic submersions, which are extented versions of Theorem 1.1, Proposition 2.5 and Proposition 2.6 of the paper [\textit{S. Gudmundsson} and \textit{J. C. Wood}, Math. Scand. 73, 127-155 (1993; Zbl 0790.58009)]. Then, the authors apply this method to construct sphere bundles over Kähler manifolds whose bundle projections are harmonic pseudo-horizontally homothetic submersions.
reviewed by: Weihuan Chen
Mathematics Subject Classification ID: 53C43
Mathematics Subject Classification ID: 53C55
zbMATH DE Number: 1355509
zbMATH Keywords: pseudo-harmonic morphism
zbMATH Keywords: harmonic pseudo-horizontally homothetic submersion
zbMATH Keywords: sphere bundle
zbMATH Keywords: minimal submanifold
author: Monica Alice Aprodu
author: Marian Aprodu
MaRDI profile type: Publication
full work available at URL: s002290050198
OpenAlex ID: W2321003294
DOI: 10.1007/S002290050198
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description: scientific article; zbMATH DE number 1355509