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arXiv · 2310.10870

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

José Torres Santaella
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Abstract

This paper focuses on the translating solitons of fully nonlinear extrinsic curvature geometric flows in $\mathbb{R}^{n+1}$. We present a generalization of the Spruck-Xiao's and Spruck-Sun's convexity results for $1$-homogeneous convex/concave curvature functions, and further provide several characterizations of the family of grim reaper cylinders under curvature constraints.

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José Torres Santaella. 2023-10-16. Maximum Principles and Consequences for $\gamma$-translators in $\mathbb{R}^{n+1}$ II. https://arxiv.org/abs/2310.10870

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