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

Calculus of Variations and Partial Differential Equations 2026 Open access

Read full text
Authors: Carolin Bayer, Andrew M. Roberts
DOI: 10.1007/s00526-025-03233-w
Cited by: 0
References: 18

Abstract

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

Fields of Study & Subjects

Geometric Analysis and Curvature Flows Geometry and complex manifolds Nonlinear Partial Differential Equations

Publication details

Journal / source
Calculus of Variations and Partial Differential Equations
Volume
65
Issue
2
Pages
57–57
Publication date
12 January 2026
Language
EN