Locally Sasakian Manifolds

2000/05/08 by Michał Godliński, Godliński, Michał, Wojciech Kopczyński +3
Mathematics · Physics and Astronomy · #Differential Geometry (math.DG) #FOS: Mathematics #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #gr-qc #math.DG

paper · pdf · doi:10.48550/arxiv.math/0005074

arxiv created 2000/05/08 · arxiv updated 2009/11/30

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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