Great antipodal sets of complex Grassmannian manifolds as designs with the smallest cardinalities

TL;DR

This paper characterizes great antipodal sets in complex Grassmannian manifolds as minimal designs, providing insights into their structure and cardinality.

Contribution

It introduces a novel characterization of great antipodal sets as minimal designs with smallest possible cardinalities in complex Grassmannian manifolds.

Findings

Great antipodal sets are characterized as minimal designs.

These sets have the smallest cardinalities among such configurations.

The results deepen understanding of geometric and combinatorial properties of Grassmannian manifolds.

Abstract

The aim of this paper is a characterization of great antipodal sets of complex Grassmannian manifolds as certain designs with the smallest cardinalities.