On a certain class of homogeneous projectively flat manifolds

DOI10.2748/tmj/1178228287zbMath0641.53053OpenAlexW2054131112MaRDI QIDQ1100744

Ulrich Pinkall, Katsumi Nomizu

Publication date: 1987

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1178228287

zbMATH Keywords

projectively flat manifoldtranslation groupsflat projective structuresbihomogeneous manifoldsconnections on Lie groups

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Connections (general theory) (53C05)

Related Items (11)

Flat affine or projective geometries on Lie groups ⋮ Homogeneous spaces with invariant projectively flat affine connections ⋮ On the geometry of affine immersions ⋮ Generalized spherical functions on projectively flat manifolds ⋮ On generalized affine rotation surfaces ⋮ Transformation techniques for partial differential equations on projectively flat manifolds ⋮ Cubic form theorem for affine immersions ⋮ Certain class of almost cosymplectic manifolds with Kählerian leaves ⋮ Projectively Flat Affine Surfaces That are Not Locally Symmetric ⋮ Projective non affine structures on filiform Lie groups ⋮ Geometric methods for solving Codazzi and Monge-Ampère equations

Cites Work

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• Klassifikationstheorie endlich-dimensionaler Algebren in der Zeit von 1880 bis 1920
• Invariant flat projective structures on homogeneous spaces
• Projective Connections and Projective Transformations
• Simply Transitive Groups of Affine Motions
• Ricci-Calculus
• Invariant Affine Connections on Homogeneous Spaces

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