arXiv Open Access 2023

Maximum Principles and Consequences for $γ$-translators in $\mathbb{R}^{n+1}$

José Torres Santaella

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Abstrak

In this paper we obtain several properties of translating solitons for a general class of extrinsic geometric curvature flows given by a homogeneous, symmetric, smooth non-negative function $γ$ defined in an open cone $Γ\subset\mathbb{R}^n$. The main results are tangential principles, nonexistence theorems for closed and entire solutions, and a uniqueness result that says that any strictly convex $γ$-translator defined on a ball with a single end $\mathcal{C}^2$-asymptotic to a cylinder is the ''bowl''-type solution found in the translator paper of S. Rengaswami.

Topik & Kata Kunci

math.DG math.AP

Penulis (1)

José Torres Santaella

Format Sitasi

APA MLA BibTeX

Santaella, J.T. (2023). Maximum Principles and Consequences for $γ$-translators in $\mathbb{R}^{n+1}$. https://arxiv.org/abs/2306.03649

Akses Cepat

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Informasi Jurnal

Tahun Terbit: 2023
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓