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

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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