Affine manifolds with dilations

DOI10.1016/S0166-8641(97)00119-3zbMath0956.53039OpenAlexW2046219598MaRDI QIDQ1295267

Kyung Bai Lee, Joon-Kook Shin

Publication date: 5 September 1999

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

Full work available at URL: https://doi.org/10.1016/s0166-8641(97)00119-3

zbMATH Keywords

nilpotent groupholonomy groupHopf manifoldgeodesically incomplete

Mathematics Subject Classification ID

Groups acting on specific manifolds (57S25) Differential geometry of homogeneous manifolds (53C30) Nilpotent and solvable Lie groups (22E25) Issues of holonomy in differential geometry (53C29) Specialized structures on manifolds (spin manifolds, framed manifolds, etc.) (57R15)

Cites Work

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• Bieberbach's theorems on space groups and discrete uniform subgroups of Lie groups
• Manifolds with canonical coordinate charts: Some examples
• Closed similarity manifolds
• Groups of polynomial growth and expanding maps. Appendix by Jacques Tits
• Modules for certain Lie algebras of maximal class
• On compact conformally euclidean spaces of dimension \(>2\)
• SPHERICAL CR MANIFOLDS WITH AMENABLE HOLONOMY
• Conformally Flat Manifolds whose Development Maps are not Surjective. I
• A nilpotent Lie algebra with nilpotent automorphism group

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