Locally Sasakian Manifolds
Differential Geometry
2007-05-23 v1 General Relativity and Quantum Cosmology
Abstract
We show that every Sasakian manifold in dimension is locally generated by a free real function of 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 dimensions is generated by a locally K\"ahler-Einstein manifold in dimension .
Cite
@article{arxiv.math/0005074,
title = {Locally Sasakian Manifolds},
author = {Michał Godliński and Wojciech Kopczyński and Paweł Nurowski},
journal= {arXiv preprint arXiv:math/0005074},
year = {2007}
}