Foliations with degenerate Gauss maps on $\mathbb P^4$

TL;DR

This paper classifies certain holomorphic foliations on complex projective 4-space that have degenerate Gauss maps, advancing understanding of their geometric structure.

Contribution

It provides a complete classification of codimension one holomorphic foliations on  with degenerate Gauss maps, a previously uncharacterized class.

Findings

Complete classification of foliations with degenerate Gauss maps

Identification of geometric properties of these foliations

Extension of foliation theory on complex projective spaces

Abstract

We obtain a classification of codimension one holomorphic foliations on $\mathbb P^4$ with degenerate Gauss maps.