Xin, Y. L.; Yang, Yihu Regularity of \(p\)-harmonic maps into certain manifolds with positive sectional curvature. (English) Zbl 0827.58012 J. Reine Angew. Math. 466, 1-17 (1995). By using the Hardt-Lin regularity theorem for \(p\)-harmonic maps the singular sets have been analyzed in the cases when the target manifolds are certain submanifolds in Euclidean space, compact irreducible homogeneous spaces and completely simply connected \(\delta\)-pinched manifolds. Several related Liouville-type theorems of harmonic maps into those manifolds are also established. Reviewer: Y.L.Xin and Yihu Yang (Shanghai) Cited in 3 Documents MSC: 58E20 Harmonic maps, etc. 53B40 Local differential geometry of Finsler spaces and generalizations (areal metrics) 53C30 Differential geometry of homogeneous manifolds 53C20 Global Riemannian geometry, including pinching Keywords:pinched manifolds; regularity; \(p\)-harmonic maps; submanifolds in Euclidean space; homogeneous spaces; Liouville-type theorems PDFBibTeX XMLCite \textit{Y. L. Xin} and \textit{Y. Yang}, J. Reine Angew. Math. 466, 1--17 (1995; Zbl 0827.58012) Full Text: Crelle EuDML