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PreprintarXiv licencearXiv

Minimal surfaces with density two at infinity

Abstract

We prove that a connected, properly embedded minimal surface without boundary in ℝ3 and with density two at infinity is a catenoid or a singly periodic Scherk surface.

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BibTeX
@misc{bi2026minimal,
  title = {{Minimal surfaces with density two at infinity}},
  author = {Yuchen Bi},
  howpublished = {arXiv},
  year = {2026},
  month = nov,
  doi = {10.48550/arxiv.2611.08212},
  eprint = {2611.08212},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2611.08212},
}
RIS
TY  - UNPB
TI  - Minimal surfaces with density two at infinity
AU  - Yuchen Bi
PY  - 2026
DA  - 2026/11/05
PB  - arXiv
DO  - 10.48550/arxiv.2611.08212
UR  - https://arxiv.org/abs/2611.08212
AB  - We prove that a connected, properly embedded minimal surface without boundary in ℝ^3 and with density two at infinity is a catenoid or a singly periodic Scherk surface.
ER  -