Differential as a harmonic morphism with respect to Cheeger--Gromoll type metrics

2009/08/04 by Wojciech Kozłowski, Kozlowski, Wojciech, Kamil Niedziałomski +1
Mathematics · #53A30 #53C07 #53C43 #Algebraic and Geometric Analysis #Analytic and geometric function theory #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows

paper · pdf · doi:10.48550/arxiv.0908.0423

openalex publication_date 2009/08/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We investigate horizontal conformality of a differential of a map between Riemannian manifolds where the tangent bundles are equipped with Cheeger--Gromoll type metrics. As a corollary, we characterize the differential of a map as a harmonic morphism.

Citations

• The geometry of generalised Cheeger-Gromoll metrics

Related

• Conformality of a differential with respect to Cheeger-Gromoll type metrics
• Cheeger Gromoll type metrics on the tangent bundle
• The geometry of generalised Cheeger-Gromoll metrics
• Harmonic morphisms between degenerate semi-Riemannian manifolds
• Generalized harmonic morphisms and horizontally weakly conformal biharmonic maps