Harmonic maps on weighted Riemannian foliations

Xueshan Fu; Jinhua Qian; Seoung Dal Jung

Harmonic maps on weighted Riemannian foliations

Differential Geometry 2023-08-15 v2

Authors: Xueshan Fu , Jinhua Qian , Seoung Dal Jung

Abstract

On foliations, there are two kinds of harmonic maps, that is, transversally harmonic map and $(F,F')$ -harmonic map which are equivalent when the foliation is minimal. In this paper, we study transversally f-harmonic and $(F,F')_f$ -harmonic maps on weighted foliations.

Keywords

harmonic maps riemannian foliations weighted foliations transversally f-harmonic maps minimal foliation

Cite

@article{arxiv.2212.05639,
  title  = {Harmonic maps on weighted Riemannian foliations},
  author = {Xueshan Fu and Jinhua Qian and Seoung Dal Jung},
  journal= {arXiv preprint arXiv:2212.05639},
  year   = {2023}
}

Comments

19 page. arXiv admin note: text overlap with arXiv:2201.08544

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