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 …

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 …

The solution of the Calabi Conjecture by Yau implies that every Kähler Calabi–Yau manifold
XX admits a metric with holonomy contained in SU (n) SU(n), and that these metrics are …

We study Hermitian metrics with a Gauduchon connection being" K\" ahler-like", namely,
satisfying the same symmetries for curvature as the Levi-Civita and Chern connections. In …

Let X be a compact, Kähler, Calabi‐Yau threefold and suppose X↦ X ̲⇝ X t X↦X⇝X_t, for
t∈ Δ t∈Δ, is a conifold transition obtained by contracting finitely many disjoint (− 1,− 1) (-1 …

The holonomy of the Bismut connection on Vaisman manifolds is studied. We prove that if M
2 n is endowed with a Vaisman structure, then the holonomy group of the Bismut connection …

We study the Strominger system with fixed balanced class. We show that classes which are
the square of a K\" ahler metric admit solutions to the system for vector bundles satisfying the …

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

This is a survey on the Strominger system and a geometric flow known as the anomaly flow.
We will discuss various aspects of non-K\" ahler geometry on Calabi-Yau threefolds. Along …

In this paper, we fix the complex structure and explore the moduli space of the heterotic
system by considering two different yet" dual" deformation paths starting from a K\" ahler …