Resumen de Deformations and moduli of structures on manifolds: general existence theorem and application to the Sasakian case

Laurent Meersseman, Marcel Nicolau i Reig

• In this paper we deal with the moduli problem for geometric structures on manifolds. We prove an existence theorem of a local moduli space in a very general setting. Then, to show the strength of this result, we apply it to the case of Sasakian and Sasaki-Einstein structures for which until now only partial results were known.