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

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.