Generalized complex geometry encompasses complex and symplectic geometry as its
extremal special cases. We explore the basic properties of this geometry, including its …

The doubled formulation of string theory, which is T-duality covariant and enlarges
spacetime with extra coordinates conjugate to winding number, is reformulated and its …

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

These letters, written in 1998-2000, contain various basic results about Courant algebroids
(CAs), such as classification of exact and transitive CAs, reduction of CAs, description in …

In these lectures we review Generalized Complex Geometry and discuss two main
applications to string theory: the description of supersymmetric flux compactifications and the …

We describe how generalized complex geometry, which interpolates between complex and
symplectic geometry, is compatible with T-duality, a relation between quantum field theories …

The gauged sigma-model argument that string backgrounds related by T-duality give
equivalent quantum theories is revisited, taking careful account of global considerations …

We reexamine the notions of generalized Ricci tensor and scalar curvature on a general
Courant algebroid, reformulate them using objects natural wrt pull-backs and reductions …

A bstract We present a general formalism for incorporating the string corrections in
generalised geometry, which necessitates the extension of the generalised tangent bundle …

This work revisits the notions of connection and curvature in generalized geometry, with
emphasis on torsion-free generalized connections on a transitive Courant algebroid. As an …