Constructs embedded flat minimal tori in odd codimensions q≥3 with constant S+λ₂ values dense in (2,3), providing counterexamples to Lu's second-gap conjecture.
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math.DG 2years
2026 2verdicts
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Closed minimal surfaces in the unit sphere satisfy a positive gap theorem for |A|^2 throughout [5/3, 9/5] with an application to rigidity of closed self-shrinkers.
citing papers explorer
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Flat minimal tori and Lu's second-gap conjecture
Constructs embedded flat minimal tori in odd codimensions q≥3 with constant S+λ₂ values dense in (2,3), providing counterexamples to Lu's second-gap conjecture.
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On Simon's third gap conjecture for minimal surfaces in spheres
Closed minimal surfaces in the unit sphere satisfy a positive gap theorem for |A|^2 throughout [5/3, 9/5] with an application to rigidity of closed self-shrinkers.