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PreprintarXiv licencearXiv

Stationary integral cycles asymptotic to a pair of oriented n-planes in ℝ2n

  • Jooho Lee
Open at sourcePDFDOICite

Abstract

We prove a uniqueness theorem for stationary integral n-cycles asymptotic to a pair of n-planes satisfying the symmetric angle condition. For the general angle condition, we obtain a classification for complete smooth embedded oriented minimal submanifolds with vanishing first de Rham cohomology that are asymptotic to a pair of n-planes.

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Cite

BibTeXRIS
BibTeX
@misc{lee2026stationary,
  title = {{Stationary integral cycles asymptotic to a pair of oriented $n$-planes in $\mathbbR^2n$}},
  author = {Jooho Lee},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.37816},
  eprint = {2610.37816},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.37816},
}
RIS
TY  - UNPB
TI  - Stationary integral cycles asymptotic to a pair of oriented n-planes in ℝ^2n
AU  - Jooho Lee
PY  - 2026
DA  - 2026/10/27
PB  - arXiv
DO  - 10.48550/arxiv.2610.37816
UR  - https://arxiv.org/abs/2610.37816
AB  - We prove a uniqueness theorem for stationary integral n-cycles asymptotic to a pair of n-planes satisfying the symmetric angle condition. For the general angle condition, we obtain a classification for complete smooth embedded oriented minimal submanifolds with vanishing first de Rham cohomology that are asymptotic to a pair of n-planes.
ER  -