Geometric flows and Strominger systems

Abstract

A geometric flow on $(2,2)$-forms is introduced which preserves the balanced condition of metrics, and whose stationary points satisfy the anomaly equation in Strominger systems. The existence of solutions for a short time is established, using Hamilton's version of the Nash-Moser implicit function theorem.

16 pages, final version, to appear in Math. Z

References in corpus (4)

• Anomaly Cancellation and Smooth Non-Kahler Solutions in Heterotic String Theory
• A Construction of Non-Kähler Calabi-Yau Manifolds and New Solutions to the Strominger System
• On estimates for the Fu-Yau generalization of a Strominger system
• The Anomaly flow and the Fu-Yau equation

Cited by in corpus (6)

• Lectures on the Strominger system
• Fu-Yau Hessian Equations
• Regularizing properties of Complex Monge-Ampère flows II: Hermitian manifolds
• The Anomaly flow and the Fu-Yau equation
• The Anomaly flow on unimodular Lie groups
• Parabolic complex Monge-Ampère equations on compact Hermitian manifolds