Slice Theorem For Differential Spaces And Reduction By Stages

Demonstratio mathematica

article

Tsasa Lusala¹  Jędrzej Śniatycki¹ 

[1] DEPARTMENT OF MATHEMATICS AND STATISTICS UNIVERSITY OF CALGARY CALGARY

关键词: differential space;    proper action;    reduction by stages;    slice;   

DOI  :  10.2478/dema-2014-0016

学科分类：外科医学

来源: De Gruyter

【 摘 要 】

We show that the space P/G of orbits of a proper action of a Lie group G on a locally compact differential space P is a locally compact differential space with quotient topology. Applying this result to reduction of symmetries of Hamiltonian systems, we prove the reduction by stages theorem.

【 授权许可】

CC BY