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

Laurent Meersseman ^[1] ; Marcel Nicolau ^[2]
1. [1] University of Angers
  
  University of Angers
  
  Arrondissement d’Angers, Francia
2. [2] Universitat Autònoma de Barcelona
  
  Universitat Autònoma de Barcelona
  
  Barcelona, España
Localización: Annali della Scuola Normale Superiore di Pisa. Classe di scienze, ISSN 0391-173X, Vol. 17, Nº 1, 2017, págs. 19-63
Idioma: inglés
DOI: 10.2422/2036-2145.201505_005
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Resumen
- 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.