Preprint in the OpenAI Math release
A Smooth Nonquadratic Entire Affine Maximal Graph in Dimension Ten
OpenAI
Abstract
We construct a smooth nonquadratic entire graph in dimension ten that solves the classical affine maximal equation and has positive-definite Hessian everywhere. This gives a smooth counterexample to the entire-graph affine Bernstein assertion in dimension ten. Hessian positivity is pointwise; no global uniform lower bound or completeness of the Berwald–Blaschke metric is asserted.
open until 1 Jan 2028
est. 50% chance this result is independently verified by the end of 2027.
Not verified 50%Verified 50%
What do you think this paper will get?
All positions stay anonymous.
Discussion (0)
Sign in to comment.