Locally Sasakian Manifolds

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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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Differential Geometry, General Relativity and Quantum Cosmology

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http://salesiana.dossiersoluciones.com/handle/123456789/59147

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0005074
 http://arxiv.org/abs/math/0005074

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arXiv