Affine Manifolds and Orbits of Algebraic Groups

DOI10.2307/2000152zbMath0591.57013OpenAlexW4214534875WikidataQ125920491 ScholiaQ125920491MaRDI QIDQ3719504

Morris W. Hirsch, William M. Goldman

Publication date: 1986

Full work available at URL: https://doi.org/10.2307/2000152

zbMATH Keywords

manifoldsnilmanifoldorbitLie algebra cohomologysolvmanifoldaffine holonomy groupparallel volumecompact affine manifoldaffine 3-manifoldalgebraic group cohomologyparallel k-formrational Riemannian metricsecondary characteristic classes for affine structures onsecondary characteristic classes for affine structures on manifolds

Mathematics Subject Classification ID

Sphere bundles and vector bundles in algebraic topology (55R25) Characteristic classes and numbers in differential topology (57R20) Differential topology (57R99) Global differential geometry (53C99) Connections (general theory) (53C05) (G)-structures (53C10)

Related Items (15)

On the Markus conjecture in convex case ⋮ Translationally isotropic flat homogeneous manifolds with metric signature \((n,2)\) ⋮ Properly discontinuous group actions on affine homogeneous spaces ⋮ Universal Lagrangian bundles ⋮ Ehresmann connections for Lagrangian foliations ⋮ Homogeneous Spacetimes of Zero Curvature ⋮ Unnamed Item ⋮ Quasi-homogeneous domains and convex affine manifolds ⋮ A classification of radial or totally geodesic ends of real projective orbifolds. I: A survey of results ⋮ Left-symmetric algebras and homogeneous improper affine spheres ⋮ The structure of assosymmetric algebras ⋮ The structure of complete left-symmetric algebras ⋮ Flat pseudo-Riemannian manifolds with a nilpotent transitive group of isometries ⋮ Linear foliations on affine manifolds ⋮ Autour de la conjecture de L. Markus sur les variétés affines. (Around the conjecture of L. Markus on affine manifolds)

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