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