The Fu-Yau equation in higher dimensions
Jianchun Chu, Liding Huang, Xiaohua Zhu
TL;DR
This paper proves the existence of solutions to the Fu-Yau equation on higher-dimensional compact Kähler manifolds and provides new non-trivial solutions to the modified Strominger system.
Contribution
It extends the existence results of the Fu-Yau equation to higher dimensions and constructs new solutions to the Strominger system.
Findings
Existence of solutions to the Fu-Yau equation in higher dimensions
Construction of non-trivial solutions to the modified Strominger system
Advancement in understanding complex geometric PDEs
Abstract
In this paper, we prove the existence of solutions to the Fu-Yau equation on compact K\"{a}hler manifolds. As an application, we give a class of non-trivial solutions of the modified Strominger system.
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Taxonomy
TopicsGeometry and complex manifolds · Geometric Analysis and Curvature Flows · Geometric and Algebraic Topology