Deformations of calibrations, {Calabi-Yau, HyperK\"ahler, $G_2$ and Spin(7) structures}
Differential Geometry
2009-09-29 v2
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, HyperK\"ahler, and structures and show that these deformation spaces are smooth in a systematic way.
Keywords
Cite
@article{arxiv.math/0204288,
title = {Deformations of calibrations, {Calabi-Yau, HyperK\"ahler, $G_2$ and Spin(7) structures}},
author = {Ryushi Goto},
journal= {arXiv preprint arXiv:math/0204288},
year = {2009}
}
Comments
54pages