OpenAI reports a smooth affine-maximal counterexample in dimension ten
- Mathematics
There is a nonquadratic smooth entire function on ℝ¹⁰ with pointwise positive-definite Hessian that solves the classical affine maximal equation.
OpenAI reports a smooth affine-maximal counterexample in dimension ten
- Mathematics
There is a nonquadratic smooth entire function on ℝ¹⁰ with pointwise positive-definite Hessian that solves the classical affine maximal equation.
Curated contributions 1
Understand the problem ↓Understanding the problem
Read the background
There is a nonquadratic smooth entire function on ℝ¹⁰ with pointwise positive-definite Hessian that solves the classical affine maximal equation.
Why it matters
If correct, disproves the smooth entire-graph affine Bernstein assertion in dimension ten under pointwise Hessian positivity.
What counts as progress
Must every smooth entire affine-maximal graph with positive-definite Hessian be quadratic in dimension ten?
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OpenAI reports a smooth affine-maximal counterexample in dimension ten