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

Key Points

• New isoperimetric inequalities for volume differences are derived for polars of mixed complex projection bodies.
• The findings expand on initial work by J. Abardia and A. Bernig regarding geometric inequalities.
• These inequalities enhance the understanding of relationships between complex projection bodies and their polars.
• The exploration illuminates deep geometric properties that serve as a foundation for future research.