On the equivalence of several definitions of compact infra-solvmanifolds

Shintarô Kuroki; Li Yu

doi:10.3792/pjaa.89.114

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Home > Journals > Proc. Japan Acad. Ser. A Math. Sci. > Volume 89 > Issue 9 > Article

November 2013 On the equivalence of several definitions of compact infra-solvmanifolds

Shintarô Kuroki, Li Yu

Proc. Japan Acad. Ser. A Math. Sci. 89(9): 114-118 (November 2013). DOI: 10.3792/pjaa.89.114

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Abstract

We show the equivalence of several definitions of compact infra-solvmanifolds that appear in various math literatures.

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Shintarô Kuroki. Li Yu. "On the equivalence of several definitions of compact infra-solvmanifolds." Proc. Japan Acad. Ser. A Math. Sci. 89 (9) 114 - 118, November 2013. https://doi.org/10.3792/pjaa.89.114

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Published: November 2013

First available in Project Euclid: 30 October 2013

zbMATH: 1288.22006

MathSciNet: MR3127929

Digital Object Identifier: 10.3792/pjaa.89.114

Subjects:

Primary: 22E25 , 22E40 , 22F30

Secondary: 53C30

Keywords: discrete group action , holonomy , homogeneous space , Infra-solvmanifold , solvable Lie group

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Proc. Japan Acad. Ser. A Math. Sci.

Vol.89 • No. 9 • November 2013

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Shintarô Kuroki, Li Yu "On the equivalence of several definitions of compact infra-solvmanifolds," Proceedings of the Japan Academy, Series A, Mathematical Sciences, Proc. Japan Acad. Ser. A Math. Sci. 89(9), 114-118, (November 2013)

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