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

Kang Wei

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

Differential Geometry 2015-04-23 v6

Authors: Kang Wei

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 K\"ahler manifolds.

Keywords

generalized Calabi-Yau manifolds deformations Hodge theory unobstructed L^2 convergence generalized Kähler manifolds canonical family

Cite

@article{arxiv.1408.6657,
  title  = {Some Results of Deformations on Compact $H$-twisted Generalized Calabi-Yau Manifolds},
  author = {Kang Wei},
  journal= {arXiv preprint arXiv:1408.6657},
  year   = {2015}
}

Comments

This paper has been withdrawn by the author since the result is too small

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

Abstract

Keywords

Cite

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