General f-harmonic morphisms

General f-harmonic morphisms

In this paper, we prove that a map between Riemannian manifolds is an f-harmonic morphism in a general sense if and only if it is horizontally weakly conformal, satisfying some conditions, and we investigate the properties of f-harmonic morphism in a general sense.

Bibliographic Details
Main Authors: Nour Elhouda Djaa, Ahmed Mohamed Cherif
Format: Article
Language:English
Published: Emerald Publishing 2016-07-01
Series:Arab Journal of Mathematical Sciences
Subjects:
f-harmonic maps
f-harmonic morphism
Online Access:http://www.sciencedirect.com/science/article/pii/S1319516616000050
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spelling doaj-4bc8eef4cb54463fb2e3eba8f4a782202021-05-02T19:15:34ZengEmerald PublishingArab Journal of Mathematical Sciences1319-51662016-07-0122227528410.1016/j.ajmsc.2016.02.001General f-harmonic morphismsNour Elhouda Djaa0Ahmed Mohamed Cherif1Department of Mathematics, Relizane University, 48000, AlgeriaDepartment of Mathematics, Mascara University, 29000, AlgeriaIn this paper, we prove that a map between Riemannian manifolds is an f-harmonic morphism in a general sense if and only if it is horizontally weakly conformal, satisfying some conditions, and we investigate the properties of f-harmonic morphism in a general sense.http://www.sciencedirect.com/science/article/pii/S1319516616000050f-harmonic mapsf-harmonic morphism
collection DOAJ
language English
format Article
sources DOAJ
author Nour Elhouda Djaa
Ahmed Mohamed Cherif
spellingShingle Nour Elhouda Djaa
Ahmed Mohamed Cherif
General f-harmonic morphisms
Arab Journal of Mathematical Sciences
f-harmonic maps
f-harmonic morphism
author_facet Nour Elhouda Djaa
Ahmed Mohamed Cherif
author_sort Nour Elhouda Djaa
title General f-harmonic morphisms
title_short General f-harmonic morphisms
title_full General f-harmonic morphisms
title_fullStr General f-harmonic morphisms
title_full_unstemmed General f-harmonic morphisms
title_sort general f-harmonic morphisms
publisher Emerald Publishing
series Arab Journal of Mathematical Sciences
issn 1319-5166
publishDate 2016-07-01
description In this paper, we prove that a map between Riemannian manifolds is an f-harmonic morphism in a general sense if and only if it is horizontally weakly conformal, satisfying some conditions, and we investigate the properties of f-harmonic morphism in a general sense.
topic f-harmonic maps
f-harmonic morphism
url http://www.sciencedirect.com/science/article/pii/S1319516616000050
work_keys_str_mv AT nourelhoudadjaa generalfharmonicmorphisms
AT ahmedmohamedcherif generalfharmonicmorphisms
_version_ 1721488518244466688

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