English

On complex deformations of K\"ahler-Ricci solitons

Differential Geometry 2023-10-11 v1

Abstract

We obtain a formal obstruction, i.e. a necessary condition for the existence of polarised complex deformations of K\"ahler-Ricci solitons. This obstruction is expressed in terms of the harmonic part of the variation of the complex structure.

Keywords

Cite

@article{arxiv.1507.06501,
  title  = {On complex deformations of K\"ahler-Ricci solitons},
  author = {Nefton Pali},
  journal= {arXiv preprint arXiv:1507.06501},
  year   = {2023}
}