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

作者：Bochenski Maciej^*; Ogryzek Marek

来源：Geometriae Dedicata, 2015, 178(1): 405-411.

DOI：10.1007/s10711-015-0063-y

• Homogeneous spaces
• Proper actions
• Lie groups

Let be a reductive subgroup of a reductive Lie group . Let be a homogeneous space of reductive type. We provide a necessary condition for the properness of the action of on . As an application we give examples of spaces that do not admit standard compact Clifford-Klein forms.

• 出版日期2015-10