Flat affine manifolds and their transformations

DOI10.1007/s00229-020-01262-7OpenAlexW3095192713MaRDI QIDQ2664577

Alberto Medina, A. Villabon, Omar Saldarriaga

Publication date: 17 November 2021

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1910.04238

Mathematics Subject Classification ID

Transformation groups and semigroups (topological aspects) (54H15) Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills) (53C07) Noncompact Lie groups of transformations (57S20) Lie-admissible algebras (17D25)

Cites Work

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• Flat affine or projective geometries on Lie groups
• On Lie groups with left-invariant symplectic or Kählerian structures
• An obstruction to the existence of affine structures
• Flat left-invariant connections adapted to the automorphism structure of a Lie group
• Flat affine Klein bottles
• Autour de la conjecture de L. Markus sur les variétés affines. (Around the conjecture of L. Markus on affine manifolds)
• The affine structures on the real two-torus. I
• Flat pseudo-Riemannian Lie groups
• Variétés localement plates et convexité
• On the existence of a connection with curvature zero
• Symplectic manifolds and their Lagrangian submanifolds
• On compact homogeneous affine manifolds
• On harmonic and Killing vector fields
• Holonomy of flat affinely connected manifolds
• Dynamique des Variétés Affines

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