2014/08/28 by Kang Wei, Wei, Kang
Mathematics · #Algebraic Geometry and Number Theory #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #math.DG
paper · pdf · doi:10.48550/arxiv.1408.6657
This paper has been withdrawn by the author since the result is too small
openalex publication_date 2014/08/28 · arxiv created 2015/04/22 · arxiv updated 2015/04/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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 L2 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.