Energy identity and no neck property for ε-harmonic and α-harmonic maps into homogeneous target manifolds

2025/02/12 by Bayer, Carolin, Roberts, Andrew · 1 citation
#53C43 #58E20 #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2502.08451

Abstract

In this paper we show the energy identity and the no-neck property for ε- and α-harmonic maps with homogeneous target manifolds. To prove this in the ε-harmonic case we introduce the idea of using an equivariant embedding of the homogeneous target manifold.

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• Stability of the Morse Index for the p-harmonic Approximation of Harmonic Maps into Homogeneous Spaces

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