Low dimensional Lie groups admitting left invariant flat projective or affine structures

DOI10.1016/j.difgeo.2011.11.005zbMath1241.53007arXiv1406.3424OpenAlexW2962774300WikidataQ115356752 ScholiaQ115356752MaRDI QIDQ417648

Hironao Kato

Publication date: 14 May 2012

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1406.3424

zbMATH Keywords

Lie groupleft invariant flat affine structureleft invariant flat projective structure

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Projective differential geometry (53A20) Affine differential geometry (53A15)

Related Items

Left invariant flat projective structures on Lie groups and prehomogeneous vector spaces

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Invariant flat projective structures on homogeneous spaces
• Radical d'une algèbre symétrique à gauche
• On invariant projectively flat affine connections
• A non-affine nilvariety
• Left-symmetric algebras, or pre-Lie algebras in geometry and physics
• AFFINE STRUCTURES OF SOME SOLVABLE LIE GROUPS
• AFFINE STRUCTURE OF SOME SOLVABLE LIE GROUP
• Affine Structures on Three-Step Nilpotent Lie Algebras
• Invariants of real low dimension Lie algebras
• AFFINE STRUCTURES ON NILMANIFOLDS
• Invariant projectively flat affine connections on Lie groups