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
UNVERDICTED 2representative citing papers
Proves Chern conjecture for 4D closed minimal hypersurfaces in S^5 when Gauss-Kronecker curvature K is constant, via new weighted 3-forms and proof that Euler characteristic is zero.
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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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Rigidity of Closed Minimal Hypersurfaces in $\mathbb{S}^5$
Proves Chern conjecture for 4D closed minimal hypersurfaces in S^5 when Gauss-Kronecker curvature K is constant, via new weighted 3-forms and proof that Euler characteristic is zero.