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Regularity and Compactness of Stationary Map-Varifold Pairs

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Abstract

The authors introduce the conception of stationary map-varifold pairs and prove a compactness result. As applications, they analyse the asymptotic structure of the pseudo tangent map of stationary harmonic maps. For stationary pair, they also get a strong convergence criterion about the map part and introduce the stratification of the singular set.

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Correspondence to Jiayu Li, Jie Zhou or Chaona Zhu.

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Conflicts of interest The authors declare no conflicts of interest.

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This work was supported by the National Natural Science Foundation of China (No. 11721101).

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Li, J., Zhou, J. & Zhu, C. Regularity and Compactness of Stationary Map-Varifold Pairs. Chin. Ann. Math. Ser. B 44, 929–944 (2023). https://doi.org/10.1007/s11401-023-0052-7

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  • DOI: https://doi.org/10.1007/s11401-023-0052-7

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