Manuscript OpenAI@2026-10-07 · OpenAI.tex · remark · 6a931f8f
Remark: 333-01. Smooth isometric immersions of closed surfaces into Euclidean four-space
Manuscript map · lines 8855–8864
OpenAI@2026-10-07#rem:oai-p-333-01
Authors: OpenAI. Family 333.
Title: Smooth isometric immersions of closed surfaces into Euclidean four-space.
Abstract: Every closed smooth Riemannian surface admits a smooth isometric immersion into Euclidean four-space, without an orientability assumption. This resolves the closed-surface form of the classical four-dimensional isometric-immersion problem.
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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