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arXiv · 2608.29673

Energy identity for Intrinsic Stationary Biharmonic Mappings into Homogeneous Spaces in Supercritical Dimensions

Chang-Yu Guo·Yu-Ting Kang·Ming-Lun Liu·Wen-Juan Qi
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Abstract

In this paper, we consider energy identity for intrinsic stationary biharmonic maps into homogeneous spaces in supercritical dimensions, extending the corresponding result of Hornung-Moser [Anal. PDE. 2012] in critical dimension. The proof follows a similar strategy as that of Lin-Rivi\`ere [Duke Math. J. 2002]. A key ingredient is a conservation law for intrinsic biharmonic maps into homogeneous spaces, which allow us to derive higher regularity of the map.

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Chang-Yu Guo, Yu-Ting Kang, Ming-Lun Liu, Wen-Juan Qi. 2026-08-30. Energy identity for Intrinsic Stationary Biharmonic Mappings into Homogeneous Spaces in Supercritical Dimensions. https://arxiv.org/abs/2608.29673

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