$n$-Harmonicity, Minimality, Conformality and Cohomology
Differential Geometry
2023-08-22 v3
Abstract
By studying cohomology classes that are related with -harmonic morphisms and -harmonic maps, we augment and extend several results on -harmonic maps, harmonic maps in [1, 3, 14], -harmonic morphisms in [17], and also revisit our previous results in [9, 10, 21] on Riemannian submersions and -harmonic morphisms which are submersions. The results, for example Theorem 3.2 obtained by utilizing the -conservation law (2.6), are sharp.
Keywords
Cite
@article{arxiv.2302.14019,
title = {$n$-Harmonicity, Minimality, Conformality and Cohomology},
author = {Bang-Yen Chen and Shihshu Walter Wei},
journal= {arXiv preprint arXiv:2302.14019},
year = {2023}
}
Comments
10 pages, arXiv:2302.14019v[1] 10 pages, arXiv:2302.14019v[1], arXiv:2302.14019v[2], arXiv:2302.14019v[3] 11 pages, to appear in Tamkang Journal of Mathematics