Nonunique tangent maps at isolated singularities of harmonic maps

White, Brian

doi:10.1090/S0273-0979-1992-00254-9

Nonunique tangent maps at isolated singularities of harmonic maps
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Bull. Amer. Math. Soc. 26 (1992), 125-129 Request permission

Abstract:

Shoen and Uhlenbeck showed that "tangent maps" can be defined at singular points of energy minimizing maps. Unfortunately these are not unique, even for generic boundary conditions. Examples are discussed which have isolated singularities with a continuum of distinct tangent maps.

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Nonunique tangent maps at isolated singularities of energy-minimizing maps