Homogeneous space with non-virtually abelian discontinuous groups but without any proper SL(2, ℝ)-action

DOI10.1142/S0129167X1650018XzbMath1343.57016arXiv1503.02186WikidataQ125657022 ScholiaQ125657022MaRDI QIDQ2797902

Takayuki Okuda

Publication date: 1 April 2016

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1503.02186

zbMATH Keywords

symmetric spaceproper actiondiscontinuous grouphomogeneous space of reductive type

Mathematics Subject Classification ID

Homogeneous spaces (22F30) Differential geometry of homogeneous manifolds (53C30) Discrete subgroups of Lie groups (22E40) Differential geometry of symmetric spaces (53C35) Discontinuous groups of transformations (57S30)

Cites Work

• Classification of semisimple symmetric spaces with proper \(\mathrm{SL}(2,\mathbb R)\)-actions
• On discontinuous groups acting on homogeneous spaces with non-compact isotropy subgroups
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