Rigidity results for mean curvature flow graphical translators moving in non-graphical direction
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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.
Originalsprog | Engelsk |
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Tidsskrift | Proceedings of the American Mathematical Society |
Vol/bind | 151 |
Udgave nummer | 12 |
Sider (fra-til) | 5391-5402 |
ISSN | 0002-9939 |
DOI | |
Status | Udgivet - 2023 |
Bibliografisk note
Funding Information:
The first author was supported in part by DFF Sapere Aude 7027-00110B, by CPH-GEOTOP-DNRF151 and by CF21-0680 from respectively the Independent Research Fund Denmark, the Danish National Research Foundation and the Carlsberg Foundation.The second and third author were supported in part by the National Research Foundation of Korea (NRF-2020R1A2C1A01005698 and NRF-2021R1A4A1032418).
Publisher Copyright:
© 2023 American Mathematical Society.
ID: 372718082