Some Results of Deformations on Compact $H$-twisted Generalized Calabi-Yau Manifolds

Abstract

In this paper, we prove several formulas related to Hodge theory, and using them to prove the deformations of a compact $H$-twisted generalized Calabi-Yau manifold are unobstructed and $L^2$ convergence in a neighborhood in another power series . And if we assume that the deformation is smooth in a fixed neighborhood, and assume the existence of a global canonical family of deformation, we also construct the global canonical family of the deformations of generalized Kähler manifolds.

This paper has been withdrawn by the author since the result is too small

References in corpus (3)

• Generalized geometry and the Hodge decomposition
• Generalized Kahler geometry
• On Deformations of Generalized Complex Structures: the Generalized Calabi-Yau Case