Convexity estimate for translating solitons of concave fully nonlinear extrinsic geometric flows in ${\mathbb{R}}^{n+1}$

Abstract

The main result of this paper is a convexity estimate for translating solitons of extrinsic geometric flows which evolve under a $1$-homogeneous concave function in the principal curvatures. In addition, we show examples of these hypersurfaces in ${\mathbb{R}}^{n+1}$ for particular functions.