Conformal changes of generalized complex structures

Details Conformal changes of generalized complex structures Conformal changes of generalized complex structures

2007-10-19

arxiv.org/abs/0710.3667v2

An. Stiint. Univ. Iasi, Mat. 54 (2008), 1-14

Mathematics

Differential Geometry

LaTex, 14 pages, Correction in Proposition 3.2

Scientific paper

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

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