Unique limit tangent cone conjecture for minimal surfaces

From papers

Let MM be a properly immersed minimal surface in R3{\mathbb R}^3 with quadratic area growth, meaning that its area growth constant A(M)A(M) is finite. A limit tangent cone at infinity is a minimal cone obtained as a subsequential limit of homothetic shrinkings of MM. Unique limit tangent cone conjecture. The surface MM has a unique limit tangent cone at infinity. This conjecture concerns the asymptotic geometry of properly immersed minimal surfaces with quadratic area growth; the supplied source does not state whether it has been resolved.

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Sources & referencesView supporting material

Primary source

William H. Meeks and Michael Wolf, “Minimal surfaces with the area growth of two planes; the case of infinite symmetry”, arXiv:math/0501110 (2005).

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