Homogeneous spaces of nonreductive type that do not model any compact manifold

DOI10.4171/PRIMS/53-2-3zbMath1371.53051arXiv1508.04862MaRDI QIDQ2360102

Yosuke Morita

Publication date: 23 June 2017

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1508.04862

zbMATH Keywords

homogeneous spacelocal modeldiscrete subgroup of Lie grouprelative Lie algebra cohomologyClifford-Klein form

Mathematics Subject Classification ID

Homogeneous spaces (22F30) Differential geometry of homogeneous manifolds (53C30) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Discontinuous groups of transformations (57S30) Cohomology of Lie (super)algebras (17B56) Coadjoint orbits; nilpotent varieties (17B08)

Related Items (4)

Semisimple symmetric spaces that do not model any compact manifold ⋮ Unnamed Item ⋮ Proof of Kobayashi's rank conjecture on Clifford-Klein forms ⋮ On the Hirzebruch-Kobayashi-Ono proportionality principle and the non-existence of compact solvable Clifford-Klein forms of certain homogeneous spaces

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