Conformal changes of generalized complex structures

Abstract

A conformal change of $TM\oplus T^{\ast }M$ is a morphism of the form $(X,\alpha )\mapsto (X,e^{\tau }\alpha )$ $(X\in TM,\alpha \in T^{\ast }M,\tau \in C^{\infty }(M))$. We characterize the generalized almost complex and almost Hermitian structures that are locally conformal to integrable and to generalized Kähler structures, respectively, and give examples of such structures.

LaTex, 14 pages, Correction in Proposition 3.2

References in corpus (1)

• Generalized complex structures and Lie brackets