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Research Article | Open Access

The geominimal integral curvature

School of Mathematics and Statistics, Shaanxi Normal University, Xi'an 710119, China
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Abstract

In this paper, the geominimal integral curvature on the convex body is introduced. The existence and uniqueness of the geominimal integral curvature are proved. Some other properties for the geominimal integral curvature, such as continuity, are investigated.

Keywords

geominimal surface areaintegral curvaturePetty bodyconvex body
CLC number: 52A20, 53A15

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AIMS Mathematics
Volume 7 Issue 8,
August 2022
Pages 14338-14353
DOI: 10.3934/math.2022790

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Cite this article:
Mou S. The geominimal integral curvature. AIMS Mathematics, 2022, 7(8): 14338-14353. https://doi.org/10.3934/math.2022790

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Received: 01 April 2022
Revised: 19 May 2022
Accepted: 27 May 2022
Published: 15 August 2022
©2022 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)