Maximum principles and consequences for γ-translators in Rn+1 II

Abstract

This paper focuses on the translating solitons of fully nonlinear extrinsic curvature geometric flows in $R^{n+1}$. 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.