Fiber bundles and Lie algebras of top spaces
نویسنده
چکیده مقاله:
In this paper, by using of Frobenius theorem a relation between Lie subalgebras of the Lie algebra of a top space T and Lie subgroups of T(as a Lie group) is determined. As a result we can consider these spaces by their Lie algebras. We show that a top space with the finite number of identity elements is a C^{∞} principal fiber bundle, by this method we can characterize top spaces.
منابع مشابه
fiber bundles and lie algebras of top spaces
in this paper, by using of frobenius theorem a relation between lie subalgebras of the lie algebra of a top space t and lie subgroups of t(as a lie group) is determined. as a result we can consider these spaces by their lie algebras. we show that a top space with the finite number of identity elements is a c^{∞} principal fiber bundle, by this method we can characterize top spaces.
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عنوان ژورنال
دوره 39 شماره 4
صفحات 589- 598
تاریخ انتشار 2013-09-01
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