Rigidity results for mean curvature flow graphical translators moving in non-graphical direction

Research output: Contribution to journal › Journal article › Research › peer-review

Standard

Rigidity results for mean curvature flow graphical translators moving in non-graphical direction. / Ma, John Man Shun; Ooi, Yuan Shyong; Pyo, Juncheol.

In: Proceedings of the American Mathematical Society, Vol. 151, No. 12, 2023, p. 5391-5402.

Research output: Contribution to journal › Journal article › Research › peer-review

Harvard

Ma, JMS, Ooi, YS & Pyo, J 2023, 'Rigidity results for mean curvature flow graphical translators moving in non-graphical direction', Proceedings of the American Mathematical Society, vol. 151, no. 12, pp. 5391-5402. https://doi.org/10.1090/proc/16546

APA

Ma, J. M. S., Ooi, Y. S., & Pyo, J. (2023). Rigidity results for mean curvature flow graphical translators moving in non-graphical direction. Proceedings of the American Mathematical Society, 151(12), 5391-5402. https://doi.org/10.1090/proc/16546

Vancouver

Ma JMS, Ooi YS, Pyo J. Rigidity results for mean curvature flow graphical translators moving in non-graphical direction. Proceedings of the American Mathematical Society. 2023;151(12):5391-5402. https://doi.org/10.1090/proc/16546

Author

Ma, John Man Shun ; Ooi, Yuan Shyong ; Pyo, Juncheol. / Rigidity results for mean curvature flow graphical translators moving in non-graphical direction. In: Proceedings of the American Mathematical Society. 2023 ; Vol. 151, No. 12. pp. 5391-5402.

Bibtex

@article{c33c60bbdcb945298e8dd573f6ac7799,
title = "Rigidity results for mean curvature flow graphical translators moving in non-graphical direction",
abstract = "In this paper, we study the rigidity results of complete graphical translating hypersurfaces when the translating direction is not in the graphical direction. We proved that any entire graphical translating surface in the translating direction not parallel to the graphical one is flat if either the translating surface is mean convex or the entropy of the translating surface is smaller than 2. For higher dimensional case, we show that the same conclusion holds if the graphical translating hypersurface satisfies certain growth condition. ",
author = "Ma, {John Man Shun} and Ooi, {Yuan Shyong} and Juncheol Pyo",
note = "Publisher Copyright: {\textcopyright} 2023 American Mathematical Society.",
year = "2023",
doi = "10.1090/proc/16546",
language = "English",
volume = "151",
pages = "5391--5402",
journal = "Proceedings of the American Mathematical Society",
issn = "0002-9939",
publisher = "American Mathematical Society",
number = "12",

}

RIS

TY - JOUR

T1 - Rigidity results for mean curvature flow graphical translators moving in non-graphical direction

AU - Ma, John Man Shun

AU - Ooi, Yuan Shyong

AU - Pyo, Juncheol

N1 - Publisher Copyright: © 2023 American Mathematical Society.

PY - 2023

Y1 - 2023

N2 - In this paper, we study the rigidity results of complete graphical translating hypersurfaces when the translating direction is not in the graphical direction. We proved that any entire graphical translating surface in the translating direction not parallel to the graphical one is flat if either the translating surface is mean convex or the entropy of the translating surface is smaller than 2. For higher dimensional case, we show that the same conclusion holds if the graphical translating hypersurface satisfies certain growth condition.

AB - In this paper, we study the rigidity results of complete graphical translating hypersurfaces when the translating direction is not in the graphical direction. We proved that any entire graphical translating surface in the translating direction not parallel to the graphical one is flat if either the translating surface is mean convex or the entropy of the translating surface is smaller than 2. For higher dimensional case, we show that the same conclusion holds if the graphical translating hypersurface satisfies certain growth condition.

UR - http://www.scopus.com/inward/record.url?scp=85175329246&partnerID=8YFLogxK

U2 - 10.1090/proc/16546

DO - 10.1090/proc/16546

M3 - Journal article

AN - SCOPUS:85175329246

VL - 151

SP - 5391

EP - 5402

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

SN - 0002-9939

IS - 12

ER -

ID: 372718082