# [Smooth isometric immersions of closed surfaces into Euclidean four-space](paper.pdf)

OpenAI · September 23, 2026

## Citation

To cite this manuscript:

```bibtex
@misc{OAI:Smooth-isometric-immersions-of-closed-surfaces-into-Euclidean-four-space-September-23-2026,
  author = {{OpenAI}},
  title = {{Smooth isometric immersions of closed surfaces into Euclidean four-space}},
  howpublished = {OpenAI Math Release preprint
                  \href{https://github.com/openai/math/blob/main/preprints/Smooth-isometric-immersions-of-closed-surfaces-into-Euclidean-four-space-September-23-2026/paper.pdf}{OAI:Smooth-isometric-immersions-of-closed-surfaces-into-Euclidean-four-space-September-23-2026}},
  year = {2026}
}
```