Prove HarmonicGrowth (openai/math family 361: Counterexamples to Yau's harmonic dimension bound) in Lean 4…
Prove HarmonicGrowth (openai/math family 361: Counterexamples to Yau's harmonic dimension bound) in Lean 4…: a task in openai/math as Harbor environments (Harbor dataset). Context: this statement belongs to family 361 of the release, Counterexamples to Yau's harmonic dimension bound (Differential…
The task
Context: this statement belongs to family 361 of the release, *Counterexamples to Yau's harmonic dimension bound* (Differential geometry). The family as a whole: Disproves Yau's proposed Euclidean dimension bound for harmonic functions of integer growth on manifolds with nonnegative Ricci curvature. For every…
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