关于流形上分布空间的一个注记
A Note on Distribution Spaces on Manifolds
摘要:
本文系统地给出了n维光滑流形上向量值分布空间的26种不同的具体表示,其中大部分是新的.在特殊的情况下,表示作为模块同态作用于部分的对偶丛分别。在n-形式上,这些同态的连续性已经是它们的代数性质的结果。
英文摘要:
26 different concrete representations of the space of vector valued distributions on a smooth manifold of dimension n are presented systematically, most of them new. In the particular case of representations as module homomorphisms acting on sections of the dual bundle resp. on n-forms, the continuity of these homomorphisms is already a consequence of their algebraic properties.
机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。