Uniqueness of tangent cones for calibrated 2-cycles

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.

37 pages

Cited by in corpus (5)

• Uniqueness of Tangent Cones to Positive-(p,p) Integral Cycles
• Semi-calibrated 2-currents are pseudo holomorphic, with applications
• Non-unique conical and non-conical tangents to rectifiable stationary varifolds in R^4
• Rate of decay for the mass ratio of pseudo-holomorphic integral 2-cycles
• The Unique Tangent Cone Property for Weakly Holomorphic Maps into Projective Algebraic Varieties