Finite-dimensional complex manifolds on commutative Banach algebras and continuous families of compact complex manifolds
Let Γ(M) be the set of all global continuous cross sections of a continuous family M of compact complex manifolds on a compact Hausdorff space X. In this paper, we introduce a C(X)-manifold structure on Γ(M). Especially, if X is contractible, then Γ(M) is a finite-dimensional C(X)-manifold. Here, C(...
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| Formato: | article |
| Lenguaje: | EN |
| Publicado: |
De Gruyter
2019
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| Materias: | |
| Acceso en línea: | https://doaj.org/article/fac691b7b963485eb6091e61c87f961a |
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| Sumario: | Let Γ(M) be the set of all global continuous cross sections of a continuous family M of compact complex manifolds on a compact Hausdorff space X. In this paper, we introduce a C(X)-manifold structure on Γ(M). Especially, if X is contractible, then Γ(M) is a finite-dimensional C(X)-manifold. Here, C(X) denotes the Banach algebra of all complex-valued continuous functions on X. |
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