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http://dx.doi.org/10.4134/JKMS.2006.43.5.1115

MAXIMAL HOLONOMY OF INFRA-NILMANIFOLDS WITH so(3)×ℝ3-GEOMETRY  

Lee, Kyung-Bai (Department of Mathematics University of Oklahoma)
Shin, Joon-Kook (Department of Mathematics Chungnam National University)
Publication Information
Journal of the Korean Mathematical Society / v.43, no.5, 2006 , pp. 1115-1128 More about this Journal
Abstract
Let $so(3)\tilde{\times}R^3$ be the 6-dimensional nilpotent Lie group with group operation (s, x)(t, y) = $(s+t+xy^t-yx^t,\;x+y)$. We prove that the maximal order of the holonomy groups of all infra-nilmanifolds with $so(3)\tilde{\times}R^3$-geometry is 16.
Keywords
almost Bieberbach group; holonomy group; infra-nilmanifold;
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