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arXiv · 2502.08451

Energy identity and no neck property for $\varepsilon$-harmonic and $\alpha$-harmonic maps into homogeneous target manifolds

Carolin Bayer·Andrew M. Roberts
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Abstract

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

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Carolin Bayer, Andrew M. Roberts. 2025-02-12. Energy identity and no neck property for $\varepsilon$-harmonic and $\alpha$-harmonic maps into homogeneous target manifolds. https://doi.org/10.1007/s00526-025-03233-w

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