Manuscript OpenAI@2026-10-07 · OpenAI.tex · remark · 6a931f8f
Remark: 353-01. A Smooth Nonquadratic Entire Affine Maximal Graph in Dimension Ten
Manuscript map · lines 9205–9214
OpenAI@2026-10-07#rem:oai-p-353-01
Authors: OpenAI. Family 353.
Title: A Smooth Nonquadratic Entire Affine Maximal Graph in Dimension Ten.
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.
This abstract is a catalogue record. It is not a verification and not a premise. It does not close O.1. O.1 stays NOT_CLOSED. No quantum coefficient is admitted. No compilation is asserted.
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