PreprintCC BY 4.0arXiv
Compact Mean Curvature Flows from Non-Compact Initial Data
Abstract
We construct compact, embedded solutions to the mean curvature flow in ℝn+1 that arise from various non-compact initial data and exist for a finite time.
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BibTeX
@misc{bourni2026compact,
title = {{Compact Mean Curvature Flows from Non-Compact Initial Data}},
author = {Theodora Bourni and Nathan Burns and Marcus Flook},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.12817},
eprint = {2610.12817},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.12817},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Compact Mean Curvature Flows from Non-Compact Initial Data
AU - Theodora Bourni
AU - Nathan Burns
AU - Marcus Flook
PY - 2026
DA - 2026/10/08
PB - arXiv
DO - 10.48550/arxiv.2610.12817
UR - https://arxiv.org/abs/2610.12817
AB - We construct compact, embedded solutions to the mean curvature flow in ℝ^n+1 that arise from various non-compact initial data and exist for a finite time.
ER -