On 4-dimensional, conformally flat, almost $ε$-Kählerian manifolds

Details On 4-dimensional, conformally flat, almost $ε$-Kählerian manifolds On 4-dimensional, conformally flat, almost $ε$-Kählerian manifolds

2011-10-17

arxiv.org/abs/1110.3775v1

Mathematics

Differential Geometry

7 pages

Scientific paper

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.

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