Neck Analysis of Extrinsic Polyharmonic Maps
Wanjun Ai, Hao Yin
TL;DR
This paper establishes the energy identity and no neck property for sequences of smooth extrinsic polyharmonic maps, advancing understanding of their limiting behavior in geometric analysis.
Contribution
It proves the energy identity and no neck property for extrinsic polyharmonic maps, which were previously unestablished in this context.
Findings
Proved energy identity for extrinsic polyharmonic maps
Established no neck property for these maps
Analyzed the limiting behavior of sequences with bounded energy
Abstract
We prove the energy identity and the no neck property for a sequence of smooth extrinsic polyharmonic maps with bounded total energy.
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