Title of article :
ISOMETRY GROUPS OF SIX-DIMENSIONAL FILIFORM NILMANIFOLDS
Author/Authors :
Figula ، Agota Department of Mathematics - University of Debrecen , Abbas ، Sameer Annon School of Mathematical and Computational Sciences - University of Debrecen
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.
Keywords :
filiform nilpotent Lie groups , filiform metric Lie algebras , isometry groups of nilmanifolds , the group of orthogonal automorphisms of metric Lie algebras
Journal title :
International Journal of Group Theory
Journal title :
International Journal of Group Theory
