Uniqueness of tangent cones for calibrated 2-cycles

Details Uniqueness of tangent cones for calibrated 2-cycles Uniqueness of tangent cones for calibrated 2-cycles

2005-01-29

arxiv.org/abs/math/0501536v1

Mathematics

Differential Geometry

37 pages

Scientific paper

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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