Regularity and Compactness of Stationary Map-Varifold Pairs

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

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