Regularity and Compactness of Stationary Map-Varifold Pairs*

Citation:

Jiayu LI,Jie ZHOU,Chaona ZHU.Regularity and Compactness of Stationary Map-Varifold Pairs*[J].Chinese Annals of Mathematics B,2023,44(6):929~944
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Authors:

Jiayu LI; Jie ZHOU;Chaona ZHU

Foundation:

National Natural Science Foundation of China (No. 11721101).
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.

Keywords:

Stationary map-varifold pairs, Regularity, Compactness

Classification:

53C43, 58E20
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