ScholarLens Back to search
2023•Research SquareOpen access

Harmonic maps on weighted foliations

Xueshan Fu, Jinhua Qian, Seoung Dal Jung

Open full text 1 citations

Abstract

Abstract On foliations, there are two kinds of harmonic maps, that is, transversallyharmonic map and (F,F')-harmonic map which are equivalent when the foliation is minimal. In this paper, we study transversally ƒ-harmonic and (F,F')ƒ-harmonic maps on weightedfoliations. Moreover, we investigate the relations between transversal stress energy tensorsand tranversally ƒ-harmonic maps.

Open-access reader

About this research paper

What this paper is about

Abstract On foliations, there are two kinds of harmonic maps, that is, transversallyharmonic map and (F,F')-harmonic map which are equivalent when the foliation is minimal. In this paper, we study transversally ƒ-harmonic and (F,F')ƒ-harmonic maps on weightedfoliations. Moreover, we investigate the relations between transversal stress energy tensorsand tranversally ƒ-harmonic maps.

Why it matters

OpenAlex reports 1 citations for this work. Citation counts describe recorded attention and do not establish research quality.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available abstract

Abstract On foliations, there are two kinds of harmonic maps, that is, transversallyharmonic map and (F,F')-harmonic map which are equivalent when the foliation is minimal. In this paper, we study transversally ƒ-harmonic and (F,F')ƒ-harmonic maps on weightedfoliations. Moreover, we investigate the relations between transversal stress energy tensorsand tranversally ƒ-harmonic maps.

Key concepts: Harmonic map, Harmonic, Transversal (combinatorics), Foliation (geology), Mathematics, Energy (signal processing), Geometry, Mathematical analysis

Related papers

Related paper 1Related paper 2Related paper 3
Back to paper searchBrowse research topicsOriginal source
Harmonic maps on weighted foliations — Research Paper | ScholarLens