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Maximal holonomy of infra-nilmanifolds with 3-dimensional Iwasawa geometry
-
Ku Yong Ha
and
Jong Bum Lee
Published/Copyright:
April 14, 2010
Abstract
Let 
be the nilpotent Lie group of all unipotent upper triangular complex n × n matrices and let In denote the maximal order of the holonomy groups of all infranilmanifolds with -geometry. By analyzing the algebraic structure of 
and studying its isometry group, we prove that I3 = 24.
Received: 2009-03-10
Revised: 2009-08-19
Published Online: 2010-04-14
Published in Print: 2011-May
© de Gruyter 2011
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Articles in the same Issue
- The generalized conjugacy problem for virtually free groups
- Stably diffeomorphic manifolds and l2q+1(ℤ[π])
- The size of the quotient LUC(G)/UC(G)
- Finitistic dimension conjecture and conditions on ideals
- Principal 2-bundles and their gauge 2-groups
- Flat covers over formal triangular matrix rings and minimal Quillen factorizations
- Maximal holonomy of infra-nilmanifolds with 3-dimensional Iwasawa geometry
- Algebraic Bol loops
Articles in the same Issue
- The generalized conjugacy problem for virtually free groups
- Stably diffeomorphic manifolds and l2q+1(ℤ[π])
- The size of the quotient LUC(G)/UC(G)
- Finitistic dimension conjecture and conditions on ideals
- Principal 2-bundles and their gauge 2-groups
- Flat covers over formal triangular matrix rings and minimal Quillen factorizations
- Maximal holonomy of infra-nilmanifolds with 3-dimensional Iwasawa geometry
- Algebraic Bol loops
