Unique limit tangent cone conjecture for minimal surfaces
Unique limit tangent cone conjecture for minimal surfaces
Let be a properly immersed minimal surface in with quadratic area growth, meaning that its area growth constant is finite. A limit tangent cone at infinity is a minimal cone obtained as a subsequential limit of homothetic shrinkings of . Unique limit tangent cone conjecture. The surface 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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