Uniqueness of blow-ups with sharp convergence is established for Alt-Phillips cones via new logarithmic epiperimetric inequalities, yielding free-boundary uniqueness in low dimensions and a minimality characterization for the radial cone.
Uniqueness of certain cylindrical tangent cones
4 Pith papers cite this work. Polarity classification is still indexing.
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New special Lagrangian submanifolds are constructed near the origin in C^{n+1} with isolated singularities, cylindrical tangent cones C times R, and connectivity of Y minus the origin that differs from the cone.
Uniqueness of the tangent cone C(S² × S⁴) × ℝ is established for area-minimizing hypersurfaces in ℝ⁹, completing all C_{p,q} × ℝ cases.
The Lawson-Osserman cone is integrable because its nonpositive Jacobi eigenfunctions on the link are fully characterized and generated only by ambient isometries.
citing papers explorer
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Uniqueness of the blow-up for some Alt-Phillips cones
Uniqueness of blow-ups with sharp convergence is established for Alt-Phillips cones via new logarithmic epiperimetric inequalities, yielding free-boundary uniqueness in low dimensions and a minimality characterization for the radial cone.
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Special Lagrangians with Cylindrical Tangent Cones
New special Lagrangian submanifolds are constructed near the origin in C^{n+1} with isolated singularities, cylindrical tangent cones C times R, and connectivity of Y minus the origin that differs from the cone.
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Uniqueness of Cylindrical Tangent Cones $C_{p,q} \times \mathbb{R}$
Uniqueness of the tangent cone C(S² × S⁴) × ℝ is established for area-minimizing hypersurfaces in ℝ⁹, completing all C_{p,q} × ℝ cases.
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Integrability of Lawson-Osserman Cone and its Applications
The Lawson-Osserman cone is integrable because its nonpositive Jacobi eigenfunctions on the link are fully characterized and generated only by ambient isometries.