On the non-existence of cocompact lattices for \(SL(n)/SL(m)\)

DOI10.4310/MRL.1995.V2.N1.A7zbMath0852.22009MaRDI QIDQ1902202

Robert J. Zimmer, François Labourie

Publication date: 2 December 1996

Published in: Mathematical Research Letters (Search for Journal in Brave)

zbMATH Keywords

manifoldshomogeneous spacecocompact latticediscrete subgroupactionsprincipal bundlessuperrigidity

Mathematics Subject Classification ID

Discrete subgroups of Lie groups (22E40) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15)

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A cohomological obstruction to the existence of compact Clifford-Klein forms ⋮ Semisimple symmetric spaces that do not model any compact manifold ⋮ Proper actions of \(\mathrm{SL}(2,\mathbb C)\) on irreducible complex symmetric spaces ⋮ On solvable compact Clifford-Klein forms ⋮ Proper actions of \(\mathrm{SL}(2,\mathbb R)\) on semisimple symmetric spaces ⋮ Semisimple subalgebras in simple Lie algebras and a computational approach to the compact Clifford–Klein forms problem

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