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Uniqueness of tangent cones for calibrated 2-cycles

David Pumberger·Tristan Riviere
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Abstract

We prove that tangent cones to 2-dimensional calibrated cycles are unique. Using this result we prove a rate of convergence for the mass of the blow-up of a calibrated integral 2-cycle towards the limiting density. With the same techniques, we can also prove such a rate for J-holomorphic maps between almost complex manifolds and deduce the uniqueness of their tangent maps.

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David Pumberger, Tristan Riviere. 2005-01-29. Uniqueness of tangent cones for calibrated 2-cycles. https://doi.org/10.1215/00127094-2010-016

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