An almost complex Castelnuovo de Franchis theorem

TL;DR

This paper extends the classical Castelnuovo--de Franchis theorem to the setting of almost complex structures on subbundles of the cotangent bundle, providing new insights into their geometric properties.

Contribution

It introduces a generalized theorem for almost complex structures on subbundles of the cotangent bundle, expanding the scope of the classical result.

Findings

Establishes a Castelnuovo--de Franchis type theorem for almost complex structures.

Provides conditions under which the theorem holds in this generalized setting.

Enhances understanding of the geometry of almost complex structures on subbundles.

Abstract

Given an almost complex structure on a subbundle of the cotangent bundle, we prove a Castelnuovo--de Franchis type theorem for it.