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PreprintarXiv licencearXiv

The stable Bernstein theorem in ℝ7

Abstract

We give a Green-function proof of the stable Bernstein theorem in ℝ7 for smooth, connected, complete, two-sided minimal hypersurface, thus resolving the last case in stable Bernstein problem.

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BibTeX
@misc{hong2026stable,
  title = {{The stable Bernstein theorem in $\mathbbR^7$}},
  author = {Han Hong and Haizhong Li and Gaoming Wang},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.15720},
  eprint = {2609.15720},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.15720},
}
RIS
TY  - UNPB
TI  - The stable Bernstein theorem in ℝ^7
AU  - Han Hong
AU  - Haizhong Li
AU  - Gaoming Wang
PY  - 2026
DA  - 2026/09/14
PB  - arXiv
DO  - 10.48550/arxiv.2609.15720
UR  - https://arxiv.org/abs/2609.15720
AB  - We give a Green-function proof of the stable Bernstein theorem in ℝ^7 for smooth, connected, complete, two-sided minimal hypersurface, thus resolving the last case in stable Bernstein problem.
ER  -