Harmonic maps on weighted Riemannian foliations
Xueshan Fu, Jinhua Qian, Seoung Dal Jung
TL;DR
This paper investigates specialized harmonic maps on weighted Riemannian foliations, focusing on transversally f-harmonic and (F,F')_f-harmonic maps, extending the understanding of harmonic maps in this geometric context.
Contribution
It introduces the study of transversally f-harmonic and (F,F')_f-harmonic maps on weighted foliations, expanding the theory beyond minimal foliations.
Findings
Characterization of transversally f-harmonic maps
Extension of (F,F')-harmonic maps to weighted foliations
Relations between harmonic maps and minimal foliations
Abstract
On foliations, there are two kinds of harmonic maps, that is, transversally harmonic map and -harmonic map which are equivalent when the foliation is minimal. In this paper, we study transversally f-harmonic and -harmonic maps on weighted foliations.
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Taxonomy
TopicsGeometric Analysis and Curvature Flows · Advanced Differential Geometry Research · Advanced Mathematical Modeling in Engineering