On 4-dimensional, conformally flat, almost $\epsilon$-K\"ahlerian manifolds

Karina Olszak; Zbigniew Olszak

doi:10.1016/j.geomphys.2011.12.007

On 4-dimensional, conformally flat, almost $\epsilon$-K\"ahlerian manifolds

Differential Geometry 2012-09-13 v1

Authors: Karina Olszak , Zbigniew Olszak

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Abstract

The local structure of 4-dimensional, conformally flat, almost $\epsilon$ -K\"ahlerian (i.e., almost pseudo-K\"ahlerian and almost para-K\"ahlerian) manifolds is characterized with the help of left-regular and right-regular paraquaternionic functions. Examples of such structures are discussed.

Keywords

4-dimensional manifolds conformally flat almost epsilon-Kählerian almost pseudo-Kählerian almost para-Kählerian paraquaternionic functions local structure

Cite

@article{arxiv.1110.3775,
  title  = {On 4-dimensional, conformally flat, almost $\epsilon$-K\"ahlerian manifolds},
  author = {Karina Olszak and Zbigniew Olszak},
  journal= {arXiv preprint arXiv:1110.3775},
  year   = {2012}
}

Comments

7 pages

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