Journal of the Korean Mathematical Society (대한수학회지)

Korean Mathematical Society (대한수학회)
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MAXIMAL HOLONOMY OF INFRA-NILMANIFOLDS WITH so(3)×ℝ3-GEOMETRY

  • Published : 2006.09.30
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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.

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References

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Cited by

  1. Maximal holonomy of infra-nilmanifolds with 3-dimensional Iwasawa geometry vol.23, pp.3, 2011, https://doi.org/10.1515/form.2011.022