Metric reduction and generalized holomorphic structures

JOURNAL OF GEOMETRY AND PHYSICS

卷:134

Article

Wang, Yicao¹ 

[1] Hohai Univ, Dept Math, Nanjing 210098, Jiangsu, Peoples R China

关键词: Reduction;    Generalized complex structure;    Generalized Kahler structure;    Generalized holomorphic structure;    Principal bundle;    Curvature;   

DOI  :  10.1016/j.geomphys.2018.08.007

来源: Elsevier

【 摘 要 】

In this paper, metric reduction in generalized geometry is investigated. We show how the Bismut connections on the quotient manifold are obtained from those on the original manifold. The result facilitates the analysis of generalized Kahler reduction, which motivates the concept of metric generalized principal bundles and our approach to construct a family of generalized holomorphic line bundles over CP2 equipped with some non-trivial generalized Kahler structures. (C) 2018 Elsevier B.V. All rights reserved.

【 授权许可】

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