The generalized Ricci flow is a geometric evolution equation which has recently emerged
from investigations into mathematical physics, Hitchin's generalized geometry program, and …

Hermitian, pluriclosed metrics with vanishing Bismut-Ricci form give a natural extension of
Calabi-Yau metrics to the setting of complex, non-Kähler manifolds, and arise independently …

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 …

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 …

A bstract We describe the geometry of generic heterotic backgrounds preserving minimal
supersymmetry in four dimensions using the language of generalised geometry. They are …

We develop a theory of Ricci flow for metrics on Courant algebroids which unifies and
extends the analytic theory of various geometric flows, yielding a general tool for …

A bstract We study the cohomology of an elliptic differential complex arising from the
infinitesimal moduli of heterotic string theory in the supergravity approximation. We compute …

A bstract It is believed, but not demonstrated, that the large radius massless spectrum of a
heterotic string theory compactified to four-dimensional Minkowski space should obey …

We construct special Lagrangian 3-spheres in non-Kähler compact threefolds equipped with
the Fu–Li–Yau geometry. These non-Kähler geometries emerge from topological transitions …

This book gives an introduction to fundamental aspects of generalized Riemannian,
complex, and K\" ahler geometry. This leads to an extension of the classical Einstein-Hilbert …