Complexes of differential forms associated with a normalized manifold over the algebra of dual numbers
- Авторлар: Malyugina A.1, Shurygin V.1
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Мекемелер:
- N.I. Lobachevskii Institute of Mathematics and Mechanics
- Шығарылым: Том 37, № 1 (2016)
- Беттер: 66-74
- Бөлім: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/197318
- DOI: https://doi.org/10.1134/S1995080216010066
- ID: 197318
Дәйексөз келтіру
Аннотация
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.
Авторлар туралы
A. Malyugina
N.I. Lobachevskii Institute of Mathematics and Mechanics
Хат алмасуға жауапты Автор.
Email: alexandra.malyugina@gmail.com
Ресей, Kremlevskaya str. 18, Kazan, 420008
V. Shurygin
N.I. Lobachevskii Institute of Mathematics and Mechanics
Email: alexandra.malyugina@gmail.com
Ресей, Kremlevskaya str. 18, Kazan, 420008
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