The adiabatic limit of Fu-Yau equations

TL;DR

This paper investigates the adiabatic limit of Fu-Yau equations on product Calabi-Yau manifolds, showing that these limits lead to quasilinear equations, thus advancing understanding of their geometric and analytical properties.

Contribution

The paper demonstrates that the adiabatic limit of Fu-Yau equations results in quasilinear equations, providing new insights into their structure on product Calabi-Yau manifolds.

Findings

Adiabatic limits of Fu-Yau equations are quasilinear.

Established a connection between geometric limits and PDE types.

Enhanced understanding of Fu-Yau equations in complex geometry.

Abstract

In this paper, we consider the adiabatic limit of Fu-Yau equations on a product of two Calabi-Yau manifolds. We prove that the adiabatic limit of Fu-Yau equations are quasilinear equations.