$\phi_3$-harmonic maps

Title: The geometry of $\Phi_{(3)}$-harmonic maps Authors: Shuxiang Feng, Yingbo Han, Kaige Jiang and Shihshu Walter Wei Categories: math.DG math-ph math.AP math.MP Comments: 46 pages, to appear in Nonlinear Analysis (2023). arXiv admin note: text overlap with arXiv:1911.05855 MSC-class: 58E20, 53C21, 53C25 \\ In this paper, we motivate and extend the study of harmonic maps or $\Phi_{(1)}$-harmonic maps (cf [15], Remark 1.3 (iii)), $\Phi$-harmonic maps or $\Phi_{(2)}$-harmonic maps (cf. [24], Remark 1.3 (v)), and explore geometric properties of $\Phi_{(3)}$-harmonic maps … Continue reading “The geometry of $\Phi_{(3)}$-harmonic maps”