Maximum Principles and Consequences for γ-translators in ℝⁿ⁺¹ II

2023/10/16 by José Torres Santaella, Santaella, José Torres
Mathematics · #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Nonlinear Partial Differential Equations #Point processes and geometric inequalities

paper · pdf · doi:10.48550/arxiv.2310.10870

openalex publication_date 2023/10/16 · openalex created_date 2023/10/21 · openalex updated_date 2026/07/28

Abstract

This paper focuses on the translating solitons of fully nonlinear extrinsic curvature geometric flows in ℝⁿ⁺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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