%0 Journal Article %T Deformations and Moduli of Structures on Manifolds: General Existence Theorem and Application to the Sasakian Case %A Laurent Meersseman %A Marcel Nicolau %J Mathematics %D 2015 %I arXiv %R 10.2422/2036-2145.201505_005 %X In this paper, we prove an existence theorem of a local moduli space for geometric structures in a very general setting. Then to show the interest of this result, we apply it to the case of sasakian and Sasaki-Einstein structures. %U http://arxiv.org/abs/1503.07993v3