Projective non affine structures on filiform Lie groups

DOI10.1216/RMJ-2009-39-1-133zbMath1162.53009WikidataQ115240043 ScholiaQ115240043MaRDI QIDQ1011135

J. F. Torres Lopera, A. Martín Méndez, Yu. B. Khakimdzhanov

Publication date: 7 April 2009

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

filiform Lie algebrasprojective and affine structures

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Analysis on real and complex Lie groups (22E30) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Projective connections (53B10)

Cites Work

• Complete left-invariant affine structures on nilpotent Lie groups
• On a certain class of homogeneous projectively flat manifolds
• Invariant flat projective structures on homogeneous spaces
• The structure of complete left-symmetric algebras
• Radical d'une algèbre symétrique à gauche
• Low-dimensional filiform Lie algebras
• On invariant projectively flat affine connections
• Projective nilmanifolds
• Three-dimensional projective solvmanifolds
• Symplectic or contact structures on Lie groups
• A non-affine nilvariety
• Projective Connections and Projective Transformations
• Structures holomorphiquement projectives III. Structures plates et invariantes sur des variétés homogènes
• On Uniformization of Complex Manifolds: The Role of Connections. (MN-22)
• Symplectic structures on the filiform Lie algebras
• Invariant projectively flat affine connections on Lie groups
• Nilpotent Lie groups admitting a left invariant structure
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