Une généralisation du calcul des jets et quelques prolongements généralisés de variétés différentiables
نویسندگان
چکیده
منابع مشابه
Une généralisation automorphe des nombres de Stirling
Let [n] be theset {1,2, *.. , n> and CT a given permutation in S,, the symmetric group on [n]. The (unsigned) Stirling numbers of the first kind enumerate the permutations on En] with k cycles and those of the second kind give the number partitions of [n] having k blocks. In this paper we compute the number of permutations on [n] with k cycles and the number of partitions on [n] having k blocks...
متن کاملIntroduction aux variétés différentiables Solutions et Exercices
Solution 12.1. Let ∑ α∈A ηα be a partition of unity supported on the coordinate charts of the orientable manifold. Let φα : Uα → Rn be the orientable coordinate charts, and let xα, . . . , xα. Then for each α define an n form on M by ωα = ηαdxα∧ · · · ∧dxα. This is smooth in Uα because it is a product of a smooth form and function. Outside of Uα the form is zero in a neighbourhood of every poin...
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ژورنال
عنوان ژورنال: Tohoku Mathematical Journal
سال: 1961
ISSN: 0040-8735
DOI: 10.2748/tmj/1178244307