2002/04/24 by Ryushi Goto, Goto, Ryushi
Mathematics · Physics and Astronomy · #53C15 #53C25 #58C38 #Advanced Algebra and Geometry #Black Holes and Theoretical Physics #Differential Geometry (math.DG) #FOS: Mathematics #Geometry and complex manifolds #math.DG #msc:53C15 #msc:53C25 #msc:58C38
paper · pdf · doi:10.48550/arxiv.math/0204288
54pages
openalex publication_date 2002/04/24 · arxiv created 2002/04/25 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We shall develop a new deformation theory of geometric structures in terms of closed differential forms. This theory is a generalization of Kodaira -Spencer theory and further we obtain a criterion of unobstructed deformations. We apply this theory to certain geometric structures: Calabi-Yau, HyperKähler, \G and \Spin structures and show that these deformation spaces are smooth in a systematic way.