Maximal holonomy of infra-nilmanifolds with 3-dimensional Iwasawa geometry

DOI10.1515/FORM.2011.022zbMath1229.20049MaRDI QIDQ3006397

Jong Bum Lee, Ku Yong Ha

Publication date: 14 June 2011

Published in: Forum Mathematicum (Search for Journal in Brave)

zbMATH Keywords

discrete subgroupscomplex hyperbolic manifoldsholonomy groupsalmost Bieberbach groupsinfra-nilmanifoldsIwasawa geometry

Mathematics Subject Classification ID

Groups acting on specific manifolds (57S25) Global differential geometry of Hermitian and Kählerian manifolds (53C55) Nilpotent groups (20F18) Hyper-Kähler and quaternionic Kähler geometry, ``special geometry (53C26) Discrete subgroups of Lie groups (22E40) General geometric structures on low-dimensional manifolds (57M50) Issues of holonomy in differential geometry (53C29) Other geometric groups, including crystallographic groups (20H15) Discontinuous groups of transformations (57S30)

Cites Work

• MAXIMAL HOLONOMY OF INFRA-NILMANIFOLDS WITH so(3)×ℝ³-GEOMETRY
• Maximal holonomy of infra-nilmanifolds with $2$-dimensional quaternionic Heisenberg geometry
• Maximal holonomy of almost Bieberbach groups for \(\text{Heis}_5\)

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