Levi harmonic maps of contact Riemannian manifolds
type: Item
instance of: scholarly article
title: Levi harmonic maps of contact Riemannian manifolds
zbMATH Open document ID: 1306.53057
author: Sorin Dragomir
author: Domenico Perrone
published in: The Journal of Geometric Analysis
publication date: 2014-11-18T00:00:00Z
review text: The authors introduce the notion of a \textit{Levi harmonic map} \(f:M\rightarrow M'\) from an almost contact semi-Riemannian manifold \(M\) into a semi-Riemannian manifold \(M'\) and study the Levi harmonicity for CR maps between two almost contact semi-Riemannian manifolds. The paper also discusses several ramifications of the theory of harmonic morphisms, within contact Riemannian geometry, such as Levi harmonic and pseudoharmonic morphisms. In particular it is shown that any Levi harmonic morphism \(f:M\rightarrow M'\) of an almost contact Riemannian manifold \(M\) into a Riemannian manifold \(M'\) is a Levi harmonic map and a similar result for pseudoharmonic morphisms holds only for Sasakian target manifolds \(M\). The work is enriched with many interesting examples.
Mathematics Subject Classification ID: 53C43
Mathematics Subject Classification ID: 53D15
Mathematics Subject Classification ID: 53D35
Mathematics Subject Classification ID: 53C25
Mathematics Subject Classification ID: 53C40
Mathematics Subject Classification ID: 32V05
zbMATH DE Number: 6370422
zbMATH Keywords: contact Riemannian manifold
zbMATH Keywords: CR map
zbMATH Keywords: Levi harmonic map
zbMATH Keywords: pseudoharmonic map
zbMATH Keywords: parabolic geodesic
zbMATH Keywords: parabolic exponential map
zbMATH Keywords: Brieskorn sphere
reviewed by: Gabriel Eduard Vilcu
MaRDI profile type: Publication
full work available at URL: s12220-012-9371-8
OpenAlex ID: W2074418059
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Levi harmonic maps of contact Riemannian manifolds (cites work)
cites work: Q3222791

Levi harmonic maps of contact Riemannian manifolds (cites work)
cites work: Some results on \(p\)-harmonic maps and exponentially harmonic maps between Finsler manifolds

Levi harmonic maps of contact Riemannian manifolds (Wikidata QID)
Wikidata QID: Q115376847

Levi harmonic maps of contact Riemannian manifolds (DOI)
DOI: 10.1007/S12220-012-9371-8