Rigidity and non-existence results for collapsed translators

Research output: Working paper › Preprint › Research

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Rigidity and non-existence results for collapsed translators. / Impera, Debora; Møller, Niels Martin; Rimoldi, Michele.

arXiv preprint, 2023.

Research output: Working paper › Preprint › Research

Harvard

Impera, D, Møller, NM & Rimoldi, M 2023 'Rigidity and non-existence results for collapsed translators' arXiv preprint.

APA

Impera, D., Møller, N. M., & Rimoldi, M. (2023). Rigidity and non-existence results for collapsed translators. arXiv preprint.

Vancouver

Impera D, Møller NM, Rimoldi M. Rigidity and non-existence results for collapsed translators. arXiv preprint. 2023.

Author

Impera, Debora ; Møller, Niels Martin ; Rimoldi, Michele. / Rigidity and non-existence results for collapsed translators. arXiv preprint, 2023.

Bibtex

@techreport{2a2f4cf4c5fb406db45d8756a9760f7d,
title = "Rigidity and non-existence results for collapsed translators",
abstract = "We prove a rigidity result for mean curvature self-translating solitons, characterizing the grim reaper cylinder as the only finite entropy self-translating 2-surface in $\mathbb{R}^3$ of width $\pi$ and bounded from below. The proof makes use of parabolicity in a weighted setting applied to a suitable universally $L$-superharmonic function defined on translaters in such slabs.",
keywords = "math.DG, math.AP, 53A10, 53E10 (49Q05, 53C42)",
author = "Debora Impera and M{\o}ller, {Niels Martin} and Michele Rimoldi",
note = "All comments are welcome",
year = "2023",
language = "English",
publisher = "arXiv preprint",
type = "WorkingPaper",
institution = "arXiv preprint",

}

RIS

TY - UNPB

T1 - Rigidity and non-existence results for collapsed translators

AU - Impera, Debora

AU - Møller, Niels Martin

AU - Rimoldi, Michele

N1 - All comments are welcome

PY - 2023

Y1 - 2023

N2 - We prove a rigidity result for mean curvature self-translating solitons, characterizing the grim reaper cylinder as the only finite entropy self-translating 2-surface in $\mathbb{R}^3$ of width $\pi$ and bounded from below. The proof makes use of parabolicity in a weighted setting applied to a suitable universally $L$-superharmonic function defined on translaters in such slabs.

AB - We prove a rigidity result for mean curvature self-translating solitons, characterizing the grim reaper cylinder as the only finite entropy self-translating 2-surface in $\mathbb{R}^3$ of width $\pi$ and bounded from below. The proof makes use of parabolicity in a weighted setting applied to a suitable universally $L$-superharmonic function defined on translaters in such slabs.

KW - math.DG

KW - math.AP

KW - 53A10, 53E10 (49Q05, 53C42)

M3 - Preprint

BT - Rigidity and non-existence results for collapsed translators

PB - arXiv preprint

ER -

ID: 351154531