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The Reduction of Equivariant Dynamics to the Orbit Space for Compact Group Actions

✍ Scribed by Pascal Chossat


Book ID
110326087
Publisher
Springer Netherlands
Year
2002
Tongue
English
Weight
323 KB
Volume
70
Category
Article
ISSN
0167-8019

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Let M be a compact symmetric space, and K the isotropy subgroup of the group of all isometries of M at a point o of M. We consider two actions of K , namely the natural action of K on M and the linear isotropy action of K on the tangent space T o M. In both cases, we show that in each category of or