The inequalities of volume differences for polars of mixed complex projection bodies

Recently, J. Abardia and A. Bernig introduced the notion of complex projection bodies and established a number of important geometric inequalities. In the present paper we prove several new isoperimetric type inequalities for volume differences for polars of mixed complex projection bodies.

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Publication Details

Journal
International Mathematical Forum
Published
2025-01-01
DOI
https://doi.org/10.12988/imf.2025.914488
Primary Topic
Point processes and geometric inequalities
Type
article
Field-Weighted Citation Impact
0.00
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article

The inequalities of volume differences for polars of mixed complex projection bodies

Feixiang Chen
International Mathematical Forum
Point processes and geometric inequalities
article

The inequalities of volume differences for polars of mixed complex projection bodies

Feixiang Chen
article en

Abstract

Recently, J. Abardia and A. Bernig introduced the notion of complex projection bodies and established a number of important geometric inequalities. In the present paper we prove several new isoperimetric type inequalities for volume differences for polars of mixed complex projection bodies.

International Mathematical ForumVol. 20(2)
Openalex Percentile: Top 72%
Point processes and geometric inequalities
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The inequalities of volume differences for polars of mixed complex projection bodies — Feixiang Chen · International Mathematical Forum (2025) | TGRS Research Map | TGRS