Isometry groups of six-dimensional filiform nilmanifolds

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Figula Agota; Abbas Sameer Annon

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Journal Paper

Paper Information

Journal: INTERNATIONAL JOURNAL OF GROUP THEORY Year:2023 | Volume:12 | Issue:2 Page(s): 67-80

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Information Journal Paper

Title

Isometry groups of six-dimensional filiform nilmanifolds

Author(s)

Figula Agota | Abbas Sameer Annon | Issue Writer Certificate

Keywords

filiform nilpotent Lie groups

filiform metric Lie algebras

isometry groups of nilmanifolds

the group of orthogonal automorphisms of metric Lie algebras

Abstract

In this paper, we classify up to isometry the connected and simply connected Riemannian nilmanifolds on six-dimensional filiform Lie groups and we compute the corresponding isometry groups.

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