scientific article; zbMATH DE number 7581800

zbMath1497.57046MaRDI QIDQ5101956

Keiichi Maeta

Publication date: 5 September 2022

Full work available at URL: https://www.heldermann.de/JLT/JLT32/JLT323/jlt32033.htm#jlt323

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zbMATH Keywords

Clifford-Klein formmanifold locally modelled on a homogeneous spacesolvable symmetric spaces

Mathematics Subject Classification ID

Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Differential geometry of symmetric spaces (53C35) Discontinuous groups of transformations (57S30) Cohomology of Lie (super)algebras (17B56) Homology and cohomology of homogeneous spaces of Lie groups (57T15)

Cites Work

• On the structure of pseudo-Riemannian symmetric spaces
• Proper action on a homogeneous space of reductive type
• A necessary condition for the existence of compact Clifford-Klein forms of homogeneous spaces of reductive type
• On the Hirzebruch-Kobayashi-Ono proportionality principle and the non-existence of compact solvable Clifford-Klein forms of certain homogeneous spaces
• Homogeneous spaces of nonreductive type that do not model any compact manifold
• Compact Clifford-Klein forms of symmetric spaces -- revisited
• Proper actions on reductive homogeneous spaces
• Compact Clifford-Klein forms of symmetric spaces
• Lie Groups, Lie Algebras, and Cohomology. (MN-34), Volume 34
• Compact quotients of Cahen-Wallach spaces
• Completeness of certain pseudo-Riemannian (locally) symmetric spaces
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