Isometry groups of six-dimensional filiform nilmanifolds

نویسندگان
Figula, Agota ID 1
Abbas, Sameer Annon ID 2

1 Institute of Mathematics, University of Debrecen, Debrecen, Hungary

2 Doctoral School of Mathematical and Computational Sciences, University of Debrecen, H-4002 Debrecen, P.O.Box 400, Debrecen, Hungary

doi
10.22108/ijgt.2022.131891.1767
چکیده

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.

کلیدواژه‌ها
filiform nilpotent Lie groups, filiform metric Lie algebras, isometry groups of nilmanifolds, the group of orthogonal automorphisms of metric Lie algebras