Translating solitons 𝐶¹-asymptotic to two half-hyperplanes

Gama, Eddygledson

doi:10.1090/proc/14734

Translating solitons $C^1-$asymptotic to two half-hyperplanes
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by Eddygledson S. Gama PDF

Proc. Amer. Math. Soc. 148 (2020), 851-858 Request permission

Abstract:

We prove that the hyperplanes parallel to $\mathbf {e}_{n+1}$ are the unique examples of translating solitons $C^1-$asymptotic to two half-hyperplanes outside a vertical cylinder in $\mathbb {R}^{n+1}$. This result generalizes a previous result due to F. Martín and the author.

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