A $ C^ 2$ function on $\mathbb {C}^ n $ is called $(n-1) $-plurisubharmonic in the sense of
Harvey-Lawson if the sum of any $ n-1$ eigenvalues of its complex Hessian is non-negative …

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 …

Abstract The Fu–Yau equation is an equation introduced by Fu and Yau as a generalization
to arbitrary dimensions of an ansatz for the Strominger system. As in the Strominger system …

The Anomaly flow is shown to converge on toric fibrations with the Fu-Yau ansatz, for both
positive and negative values of the slope parameter α'α′. This implies both results of Fu …

These notes give an introduction to the Strominger system of partial differential equations,
and are based on lectures given in September 2015 at the GEOQUANT School, held at the …

We study the class of compact complex manifolds whose first Chern class vanishes in the
Bott-Chern cohomology. This class includes all manifolds with torsion canonical bundle, but …

We study the relation between supersymmetry and geometric flows driven by the Bianchi
identity for the three-form flux H in heterotic supergravity. We describe how the flow …

Using canonical 1-parameter family of Hermitian connections on the tangent bundle, we
provide invariant solutions to the Strominger system on certain complex Lie groups and their …

The Strominger system [23, 37] is a system of partial differential equations characterizing the
compactification of heterotic superstrings with torsion. Mathematically speaking, we may …

We study the existence of three classes of Hermitian metrics on certain types of compact
complex manifolds. More precisely, we consider balanced, strong Kähler with torsion (SKT) …