Manuscript OpenAI@2026-10-07 · OpenAI.tex · remark · 6a931f8f
Remark: 348-03. Positively curved Einstein four-manifolds
Manuscript map · lines 9115–9124
OpenAI@2026-10-07#rem:oai-p-348-03
Authors: OpenAI. Family 348.
Title: Positively curved Einstein four-manifolds.
Abstract: We prove the classification conjecture for connected smooth closed Einstein four-manifolds with strictly positive sectional curvature. Up to positive scaling and isometry, every such manifold is the round four-sphere, the complex projective plane with its Fubini–Study metric, or real projective four-space with its round metric. No orientability assumption is needed.
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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