English

Conformal changes of generalized complex structures

Differential Geometry 2009-09-07 v2

Abstract

A conformal change of TMTMTM\oplus T^*M is a morphism of the form (X,α)(X,eτα)(X,\alpha)\mapsto(X,e^\tau\alpha) (XTM,αTM,τC(M))(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.

Keywords

Cite

@article{arxiv.0710.3667,
  title  = {Conformal changes of generalized complex structures},
  author = {Izu Vaisman},
  journal= {arXiv preprint arXiv:0710.3667},
  year   = {2009}
}

Comments

LaTex, 14 pages, Correction in Proposition 3.2

R2 v1 2026-06-21T09:33:54.956Z