Prove ConjugatePoints (openai/math family 358: A three-manifold with no conjugate points and no…
Prove ConjugatePoints (openai/math family 358: A three-manifold with no conjugate points and no…: a task in openai/math as Harbor environments (Harbor dataset). Context: this statement belongs to family 358 of the release, A three-manifold with no conjugate points and no nonpositively curved…
The task
Context: this statement belongs to family 358 of the release, *A three-manifold with no conjugate points and no nonpositively curved metric* (Differential geometry). The family as a whole: Constructs a closed connected orientable smooth three-manifold that admits a metric without conjugate points but no metric of…
Part of raising-heart/openai-math.