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Locally Sasakian Manifolds

Michał Godliński·Wojciech Kopczyński·Paweł Nurowski
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Abstract

We show that every Sasakian manifold in dimension $2k+1$ is locally generated by a free real function of $2k$ variables. This function is a Sasakian analogue of the Kähler potential for Kähler geometry. It is also shown that every locally Sasakian-Einstein manifold in $2k+1$ dimensions is generated by a locally Kähler-Einstein manifold in dimension $2k$.

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Michał Godliński, Wojciech Kopczyński, Paweł Nurowski. 2000-05-08. Locally Sasakian Manifolds. https://arxiv.org/abs/math/0005074

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