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0111 · Aug 202519922001200920172026
2 results for “Carlotto-Schulz”
The stability index and Yau's conjecture for Carlotto-Schulz minimal hypertorimath.DG

The paper proves stability of minimal embeddings in spheres and relates it to Yau's conjecture.

problem Stability of minimal embeddings in spheres and Yau's conjecture.
method Analyzes stability index and solves differential equation to relate to Yau's conjecture.
result Stability index of minimal hypersurfaces is at least n^2+4n+3 and Yau's conjecture holds under specific conditions.
minimal embeddingsstability indexYau's conjectureCarlotto-Schulz minimal hypertoridifferential equation
2025-08-12abs ↗pdf ↗
The stability index and Yau's conjecture for Carlotto-Schulz minimal hypertori, part IImath.DG

The paper refines the stability index for a specific minimal hypersurface and verifies Yau's conjecture.

problem Stability of minimal hypersurfaces in spheres and eigenvalue multiplicity.
method Analytical and numerical methods to study eigenvalues and stability indices.
result The multiplicity of the eigenvalue for the Carlotto-Schulz minimal embedding is at least 2n+1+n^2.
Minimal HypersurfacesEigenvaluesStability OperatorCarlotto-SchulzYau's Conjecture
2026-06-15abs ↗pdf ↗