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Proceedings of the American Mathematical Society

Published by the American Mathematical Society, the Proceedings of the American Mathematical Society (PROC) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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The $L_p$ Aleksandrov problem for origin-symmetric polytopes
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by Yiming Zhao PDF
Proc. Amer. Math. Soc. 147 (2019), 4477-4492 Request permission

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 $-1<p<0$.
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Additional Information
  • Yiming Zhao
  • Affiliation: Department of Mathematics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139
  • MR Author ID: 1164900
  • Email: yimingzh@mit.edu
  • Received by editor(s): August 13, 2018
  • Received by editor(s) in revised form: January 15, 2019
  • Published electronically: May 1, 2019
  • Communicated by: Kenneth Bromberg
  • © Copyright 2019 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 147 (2019), 4477-4492
  • MSC (2010): Primary 52A40, 52A38
  • DOI: https://doi.org/10.1090/proc/14568
  • MathSciNet review: 4002557