HARMONIC MAPS ON WEIGHTED RIEMANNIAN FOLIATIONS

被引：0

作者：

Fu, Xueshan ^{[1
]}

DAL Jung, Seoung ^{[2
]}

Qian, Jinhua ^{[3
]}

机构：

[1] Shenyang Univ Technol, Dept Math, Shenyang 110870, Peoples R China

[2] Jeju Natl Univ, Dept Math, Jeju 63243, South Korea

[3] Northeastern Univ, Dept Math, Shenyang 110819, Peoples R China

来源：

JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY | 2025年 / 62卷 / 02期

关键词：

Weighted foliation; transversal Bakry-E<acute accent>mery Ricci tensor; transversally f-harmonic map; (.T; T ')f-harmonic map; Liouville type theorem; transverse conservation laws; METRIC-MEASURE-SPACES; GEOMETRY; CURVATURE; MANIFOLDS; TOPOLOGY; THEOREMS;

D O I：

10.4134/JKMS.j240176

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

On foliations, there are two kinds of harmonic maps, that is, transversally harmonic map and (.T, .T ')-harmonic map which are equivalent when the foliation is minimal. In this paper, we study the properties of transversally f-harmonic and (.T,.T ')f-harmonic maps on weighted Riemannian foliations. Here, f is a basic function. And we investigate the relations between transversal stress-energy tensors and transversally f-harmonic maps.

引用

页码：443 / 464

页数：22

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