Complexes of differential forms associated with a normalized manifold over the algebra of dual numbers
- 作者: Malyugina A.1, Shurygin V.1
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隶属关系:
- N.I. Lobachevskii Institute of Mathematics and Mechanics
- 期: 卷 37, 编号 1 (2016)
- 页面: 66-74
- 栏目: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/197318
- DOI: https://doi.org/10.1134/S1995080216010066
- ID: 197318
如何引用文章
详细
We construct some complexes of differential forms on a smooth manifold MnD over the algebra of dual numbers D on the base of a decomposition of the tensor product TMnD⊗ℝD into the Whitney sum of two subbundles. It is shown that these complexes can be obtained as restrictions of some complexes of holomorphic (D-smooth) forms defined on the tangent bundle TMnD. For holomorphic fiber bundles over MnD, we introduce complexes of D-valued forms holomorphic along the fibers and express in terms of cohomology classes of such complexes the obstructions to existence of holomorphic connections in holomorphic principal bundles.
作者简介
A. Malyugina
N.I. Lobachevskii Institute of Mathematics and Mechanics
编辑信件的主要联系方式.
Email: alexandra.malyugina@gmail.com
俄罗斯联邦, Kremlevskaya str. 18, Kazan, 420008
V. Shurygin
N.I. Lobachevskii Institute of Mathematics and Mechanics
Email: alexandra.malyugina@gmail.com
俄罗斯联邦, Kremlevskaya str. 18, Kazan, 420008