arXiv Open Access 2022

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

John Man Shun Ma Yuan Shyong Ooi Juncheol Pyo

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Abstrak

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.

Topik & Kata Kunci

math.DG

Penulis (3)

John Man Shun Ma

Yuan Shyong Ooi

Juncheol Pyo

Format Sitasi

APA MLA BibTeX

Ma, J.M.S., Ooi, Y.S., Pyo, J. (2022). Rigidity results for mean curvature flow graphical translators moving in non-graphical direction. https://arxiv.org/abs/2210.03707

Akses Cepat

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Informasi Jurnal

Tahun Terbit: 2022
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓