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ON A C~∞-MANIFOLD B_n

机译:在C〜∞-流形B_n上

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摘要

In this paper the two new C~∞-manifolds B_n and B_n~* have been defined. It has been shown that a C~∞-manifold B_n~* is necessarily a C~∞-manifold B_n. It has been proved that if a C~∞-manifold B_n is integrable then it is a V_n~* manifold. Further certain important properties of a C~∞-manifold B_n have also been obtained which are of great geometrical importance.
机译:在本文中,定义了两个新的C〜∞流形B_n和B_n〜*。已经表明,C〜∞流形B_n〜*必然是C〜∞流形B_n。已经证明,如果C〜∞流形B_n是可积的,则它是V_n〜*流形。还获得了C〜∞流形B_n的某些重要性质,这些重要性质在几何上非常重要。

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