Deformations and Moduli of Structures on Manifolds: General Existence Theorem and Application to the Sasakian Case

Laurent Meersseman (1) , Marcel Nicolau (2)

1 LAREMA - Laboratoire Angevin de Recherche en Mathématiques
2 UAB - Departament de Matemàtiques [Barcelona]

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.

Domaines: Mathématiques [math]

Laurent Meersseman, Marcel Nicolau. Deformations and Moduli of Structures on Manifolds: General Existence Theorem and Application to the Sasakian Case. Annali della Scuola Normale Superiore di Pisa, 2017, XVII (1), pp.19-63. ⟨10.2422/2036-2145.201505_005⟩. ⟨hal-01164398⟩