The geominimal integral curvature

Shuang Mou; Shuang Mou

doi:10.3934/math.2022790

AIMS Mathematics

2022, Volume 7, Issue 8: 14338-14353. doi: 10.3934/math.2022790

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Research article

The geominimal integral curvature

Shuang Mou ^,

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

Received: 01 April 2022 Revised: 19 May 2022 Accepted: 27 May 2022 Published: 02 June 2022
MSC : 52A20, 53A15

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.
- geominimal surface area,
- integral curvature,
- Petty body,
- convex body
Citation: Shuang Mou. The geominimal integral curvature[J]. AIMS Mathematics, 2022, 7(8): 14338-14353. doi: 10.3934/math.2022790

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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.

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