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

C. Bayer; A. J. Roberts

doi:10.1007/s00526-025-03233-w

January 12, 2026Calculus of Variations and Partial Differential EquationsOpen Access

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

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Key Points

This research aims to establish the energy identity and no-neck property for harmonic maps into homogeneous spaces.
Introduced the energy identity concept for α-harmonic maps.
Utilized an equivariant embedding of the homogeneous target manifold to support the findings.
Validated the energy identity for α-harmonic maps.
Demonstrated the no-neck property in the context of these mappings.

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Implication

Shows the energy identity in α-harmonic maps with homogeneous target manifolds, indicating implications for geometric analysis.

Abstract

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

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Bayer et al. (2026) studied this question.

synapsesocial.com/papers/6966e70e13bf7a6f02bff3f8 https://doi.org/10.1007/s00526-025-03233-w

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

Key Points

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Implication

Abstract

Discussion

Cite This Study

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

Key Points

Ask about this paper

Implication

Abstract

Discussion

Cite This Study

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