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
收藏
页码：443 / 464
页数：22
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