OpenAI reports Bernoulli minimizing-cone rigidity through dimension six
- Mathematics
Every nonzero one-homogeneous global minimizer of the one-phase Bernoulli energy in ℝᵈ is a flat half-space solution for each dimension 1≤d≤6.
OpenAI reports Bernoulli minimizing-cone rigidity through dimension six
- Mathematics
Every nonzero one-homogeneous global minimizer of the one-phase Bernoulli energy in ℝᵈ is a flat half-space solution for each dimension 1≤d≤6.
Curated contributions 1
Understand the problem ↓Understanding the problem
Read the background
Every nonzero one-homogeneous global minimizer of the one-phase Bernoulli energy in ℝᵈ is a flat half-space solution for each dimension 1≤d≤6.
Why it matters
If correct, closes the five-and-six-dimensional gap and, with the known dimension-seven example, identifies seven as the critical dimension.
What counts as progress
Are all one-homogeneous Bernoulli global minimizers flat through dimension six?
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OpenAI reports Bernoulli minimizing-cone rigidity through dimension six