scholarly journals A restriction on proper group actions on homogeneous spaces of reductive type

2015 ◽  
Vol 178 (1) ◽  
pp. 405-411
Author(s):  
Maciej Bocheński ◽  
Marek Ogryzek
Keyword(s):  
Homogeneous Spaces ◽  
Group Actions ◽  
Proper Group ◽  
Proper Group Actions

scholarly journals Spin-structures and proper group actions

2016 ◽  
Vol 292 ◽  
pp. 1-10 ◽  
Author(s):  
Peter Hochs ◽  
Varghese Mathai
Keyword(s):  
Group Actions ◽  
Spin Structures ◽  
Proper Group ◽  
Proper Group Actions

The Geometry of Singular Quaternionic Kähler Quotients

1997 ◽  
Vol 08 (05) ◽  
pp. 595-610 ◽  
Author(s):  
Andrew Dancer ◽  
Andrew Swann
Keyword(s):  
Group Actions ◽  
Space Structure ◽  
Length Space ◽  
Open Set ◽  
Quaternionic Kähler Manifold ◽  
Proper Group ◽  
Proper Group Actions ◽  
Kähler Structures ◽  
Kahler Quotients ◽  
Quaternionic Kähler

Two descriptions of quaternionic Kähler quotients by proper group actions are given: the first as a union of smooth manifolds, some of which come equipped with quaternionic Kähler or locally Kähler structures; the second as a union of quaternionic Kähler orbifolds. In particular the quotient always has an open set which is a smooth quaternionic Kähler manifold. When the original manifold and the group are compact, we describe a length space structure on the quotient. Similar descriptions of singular hyperKähler and 3-Sasakian quotients are given.

scholarly journals Linearization of proper group actions

2009 ◽  
Vol 156 (11) ◽  
pp. 1946-1956 ◽  
Author(s):  
Natella Antonyan ◽  
Sergey A. Antonyan ◽  
Leonardo Rodríguez-Medina
Keyword(s):  
Group Actions ◽  
Proper Group ◽  
Proper Group Actions
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