Deformations of calibrations, Calabi-Yau, HyperKähler, G2 and Spin(7) structures
Ryushi Goto
Abstract
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, and structures and show that these deformation spaces are smooth in a systematic way.
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