真作用量轨道空间上的向量场与differential forms
Vector fields and differential forms on the orbit space of a proper action
摘要:
本文研究了光滑流形上李群的真作用在轨道空间上的微分形式和向量场,将它们分别定义为无穷小同态生成元上的多重线性映射.这产生了轨道空间上的向量场和微分形式的内在观点。
英文摘要:
In this paper we study differential forms and vector fields on the orbit space of a proper action of a Lie group on a smooth manifold, defining them as multilinear maps on the generators of infinitesimal diffeomorphisms, respectively. This yields an intrinsic view of vector fields and differential forms on the orbit space.
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