The cone volume measure of antipodal points
Karoly J. B\"or\"oczky, Pal Hegedus
TL;DR
This paper investigates the cone volume measure for pairs of antipodal points, establishing optimal conditions and providing analysis to deepen understanding of geometric properties related to antipodal pairs.
Contribution
It proves and analyzes the optimal condition of the cone volume measure for antipodal point pairs, offering new insights into geometric measure theory.
Findings
Established the optimal condition for cone volume measure of antipodal points
Provided analytical results on the behavior of cone volume measures
Enhanced understanding of geometric properties of antipodal pairs
Abstract
The optimal condition of the cone volume measure of a pair of antopodal points is proved and analyzed.
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Taxonomy
TopicsPoint processes and geometric inequalities · Morphological variations and asymmetry · Analytic and geometric function theory