English

Goto's generalized Kaehler stability theorem

Differential Geometry 2023-05-26 v1 Symplectic Geometry

Abstract

In these notes we give a shortened and more direct proof of Goto's generalized Kaehler stability theorem stating that if (J_1,J_2) is a generalized kaehler structure for which J_2 is determined by a nowhere vanishing closed form, then small deformations of J_1 can be coupled with small deformations of J_2 so that the pair remains a generalized Kaehler structure.

Keywords

Cite

@article{arxiv.1206.1983,
  title  = {Goto's generalized Kaehler stability theorem},
  author = {Gil R. Cavalcanti},
  journal= {arXiv preprint arXiv:1206.1983},
  year   = {2023}
}

Comments

9 pages, 5 figures

R2 v1 2026-06-21T21:16:53.375Z