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

Abstract

The local structure of 4-dimensional, conformally flat, almost ε-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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