The L_p Aleksandrov problem for origin-symmetric polytopes

2018/03/28 by Yiming Zhao, Zhao, Yiming
Mathematics · Physics and Astronomy · #52A38 #52A40 #Advanced Differential Geometry Research #FOS: Mathematics #Geometric Analysis and Curvature Flows #Metric Geometry (math.MG) #Point processes and geometric inequalities

paper · pdf · doi:10.48550/arxiv.1803.10839

openalex publication_date 2018/03/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The L_p Aleksandrov integral curvature and its corresponding characterization problem---the L_p Aleksandrov problem---were recently introduced by Huang, Lutwak, Yang, and Zhang. The current work presents a solution to the L_p Aleksandrov problem for origin-symmetric polytopes when -1

Citations

• Geometric measures in the dual Brunn–Minkowski theory and their associated Minkowski problems

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