Locally Sasakian Manifolds

Details Locally Sasakian Manifolds Locally Sasakian Manifolds

2000-05-08

arxiv.org/abs/math/0005074v1

Mathematics

Differential Geometry

Scientific paper

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 K\"ahler potential for K\"ahler geometry. It is also shown that every
locally Sasakian-Einstein manifold in $2k+1$ dimensions is generated by a
locally K\"ahler-Einstein manifold in dimension $2k$.

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