English

Note on Holomorphic Transformations Preserving the Bochner Curvature Tensor

Differential Geometry 2009-12-15 v1

Abstract

The following result is proved: Consider a 4-dimensional Kaehler manifold M with nonvanishing Bochner tensor B. Then any holomorphic transformation of M, which preserves B is a homothety.

Keywords

Cite

@article{arxiv.0912.2614,
  title  = {Note on Holomorphic Transformations Preserving the Bochner Curvature Tensor},
  author = {Ognian Kassabov},
  journal= {arXiv preprint arXiv:0912.2614},
  year   = {2009}
}

Comments

3 pages

R2 v1 2026-06-21T14:23:28.856Z