We construct the space of infinitesimal variations for the Strominger system and an
obstruction space to integrability, using elliptic operator theory. We initiate the study of the …

In this paper we define the analogue of Calabi–Yau geometry for generic, flux backgrounds
in type II supergravity and M‐theory. We show that solutions of the Killing spinor equations …

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 …

We introduce the category of holomorphic string algebroids, whose objects are Courant
extensions of Atiyah Lie algebroids of holomorphic principal bundles and whose morphisms …

We develop the theory of left-invariant generalized pseudo-Riemannian metrics on Lie
groups. Such a metric accompanied by a choice of left-invariant divergence operator gives …

We endow the group of automorphisms of an exact Courant algebroid over a compact
manifold with an infinite dimensional Lie group structure modeled on the inverse limit of …

We define the notions of B n-generalized pseudo-Hermitian and B n-generalized pseudo-
Kähler structure on an odd exact Courant algebroid E. When E is in the standard form (or of …

Drinfel'd double of Lie bialgebroids plays an important role in T-duality of string theories. In
the presence of $ H $ and $ R $ fluxes, Lie bialgebroids should be extended to proto Lie …

An odd generalized metric\(E_ {-}\) on a Lie group G of dimension n is a left-invariant
generalized metric on a Courant algebroid\(E_ {H, F}\) of type\(B_ {n}\) over G with left …

We develop a theory of T-duality for transitive Courant algebroids. We show that T-duality
between transitive Courant algebroids E\rightarrow M and\tilde {E}\rightarrow\tilde {M} …