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15 April 2010 Uniqueness of tangent cones for semicalibrated integral 2-cycles
David Pumberger, Tristan Rivière
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Duke Math. J. 152(3): 441-480 (15 April 2010). DOI: 10.1215/00127094-2010-016

Abstract

Semicalibrated currents in a Riemannian manifold are currents that are calibrated by a comass-1 differential form that is not necessarily closed. This extension of the classical notion of calibrated currents is motivated by important applications in differential geometry such as special Legendrian currents, for example. We prove that semicalibrated integer multiplicity rectifiable 2-cycles have a unique tangent cone at every point. The proof is based on the introduction of a new technique that might be useful for other first-order elliptic problems

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David Pumberger. Tristan Rivière. "Uniqueness of tangent cones for semicalibrated integral 2-cycles." Duke Math. J. 152 (3) 441 - 480, 15 April 2010. https://doi.org/10.1215/00127094-2010-016

Information

Published: 15 April 2010
First available in Project Euclid: 20 April 2010

zbMATH: 1195.53064
MathSciNet: MR2654220
Digital Object Identifier: 10.1215/00127094-2010-016

Subjects:
Primary: 53C38
Secondary: 35J99 , 49Q05 , 49Q20

Rights: Copyright © 2010 Duke University Press

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Vol.152 • No. 3 • 15 April 2010
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