Convexity estimate for translating solitons of concave fully nonlinear extrinsic geometric flows in ℝⁿ⁺¹

2021/09/27 by José Torres Santaella, Santaella, Jose Torres
Mathematics · #Analysis of PDEs (math.AP) #Classical Analysis and ODEs (math.CA) #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Point processes and geometric inequalities

paper · pdf · doi:10.48550/arxiv.2109.12934

openalex publication_date 2021/09/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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 ℝⁿ⁺¹ for particular functions.

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