Manuscript OpenAI@2026-10-07 · OpenAI.tex · remark · 6a931f8f

Remark: 358-01. A Three-Manifold Without Conjugate Points and Without a Nonpositively Curved Metric

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OpenAI@2026-10-07#rem:oai-p-358-01

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Authors: OpenAI. Family 358.

Title: A Three-Manifold Without Conjugate Points and Without a Nonpositively Curved Metric.

Abstract: We construct a closed connected orientable smooth three-manifold that admits a smooth Riemannian metric without conjugate points but admits no smooth Riemannian metric of nonpositive sectional curvature.

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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