Regularity Theory for 2-Dimensional Almost Minimal Currents II: Branched Center Manifold
We construct a branched center manifold in a neighborhood of a singular point of a 2-dimensional integral current which is almost minimizing in a suitable sense. Our construction is the first half of an argument which shows the discreteness of the singular set for the following three classes of 2-di...
Main Authors: | , , |
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Format: | Article |
Language: | English |
Published: |
Springer International Publishing,
2018-06-26T13:45:01Z.
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Subjects: | |
Online Access: | Get fulltext |
Summary: | We construct a branched center manifold in a neighborhood of a singular point of a 2-dimensional integral current which is almost minimizing in a suitable sense. Our construction is the first half of an argument which shows the discreteness of the singular set for the following three classes of 2-dimensional currents: area minimizing in Riemannian manifolds, semicalibrated and spherical cross sections of 3-dimensional area minimizing cones. Keywords: Area-minimizing currents, Regularity Two-dimensional, Branching singularities, Center manifold European Research Council (Grant RAM 306247) |
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