CRITERION OF PROPER ACTIONS FOR 3-STEP NILPOTENT LIE GROUPS

DOI10.1142/S0129167X07004333zbMath1127.22006OpenAlexW2008961238WikidataQ115246539 ScholiaQ115246539MaRDI QIDQ5295430

Taro Yoshino

Publication date: 30 July 2007

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

Full work available at URL: https://doi.org/10.1142/s0129167x07004333

zbMATH Keywords

nilpotent Lie groupproper actionLipsman's conjecture

Mathematics Subject Classification ID

Analysis on real and complex Lie groups (22E30) Nilpotent and solvable Lie groups (22E25)

Related Items (5)

Four-dimensional compact Clifford–Klein forms of pseudo-Riemannian symmetric spaces with signature (2, 2) ⋮ On the geometry of stable discontinuous subgroups acting on threadlike homogeneous spaces ⋮ BIQUOTIENT ACTIONS ON UNIPOTENT LIE GROUPS ⋮ Deforming discontinuous subgroups for threadlike homogeneous spaces ⋮ WHEN IS THE DEFORMATION SPACE $\mathscr{T}(\Gamma, H_{2n+1}, H)$ A SMOOTH MANIFOLD?

Cites Work

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• On discontinuous groups acting on homogeneous spaces with non-compact isotropy subgroups
• On the existence of slices for actions of non-compact Lie groups
• Proper action on a homogeneous space of reductive type
• Criterion of proper actions for 2-step nilpotent Lie groups
• Proper actions on reductive homogeneous spaces
• A COUNTEREXAMPLE TO LIPSMAN'S CONJECTURE
• PROPER ACTIONS ON SOME EXPONENTIAL SOLVABLE HOMOGENEOUS SPACES

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