A double fibration transform for complex projective space

TL;DR

This paper develops a new double fibration transform theory with applications to complex projective space, enhancing understanding of geometric structures through cycle space analysis.

Contribution

It introduces a novel double fibration transform framework specifically tailored for complex projective space, expanding existing geometric analysis methods.

Findings

Established a new transform theory for smooth cycle spaces.

Applied the theory successfully to complex projective space.

Provided insights into geometric structures via cycle space analysis.

Abstract

We develop some theory of double fibration transforms where the cycle space is a smooth manifold and apply it to complex projective space.