The Lp Aleksandrov problem for origin-symmetric polytopes

Yiming Zhao

doi:10.1090/proc/14568

The L_p Aleksandrov problem for origin-symmetric polytopes

Yiming Zhao

Research output: Contribution to journal › Article › peer-review

10 Scopus citations

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 < p < 0.

Original language	English (US)
Pages (from-to)	4477-4492
Number of pages	16
Journal	Proceedings of the American Mathematical Society
Volume	147
Issue number	10
DOIs	https://doi.org/10.1090/proc/14568
State	Published - 2019
Externally published	Yes

ASJC Scopus subject areas

General Mathematics
Applied Mathematics

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title = "The Lp Aleksandrov problem for origin-symmetric polytopes",

abstract = "The Lp Aleksandrov integral curvature and its corresponding characterization problem, the Lp Aleksandrov problem, were recently introduced by Huang, Lutwak, Yang, and Zhang. The current work presents a solution to the Lp Aleksandrov problem for origin-symmetric polytopes when −1 < p < 0.",

author = "Yiming Zhao",

note = "Publisher Copyright: c 2019 American Mathematical Society",

year = "2019",

doi = "10.1090/proc/14568",

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AB - The Lp Aleksandrov integral curvature and its corresponding characterization problem, the Lp Aleksandrov problem, were recently introduced by Huang, Lutwak, Yang, and Zhang. The current work presents a solution to the Lp Aleksandrov problem for origin-symmetric polytopes when −1 < p < 0.

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The L_p Aleksandrov problem for origin-symmetric polytopes

Abstract

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