Author:
Ficzere Kornélia,Figula Ágota
Abstract
AbstractWe determine the 6-dimensional nilpotent metric Lie algebras such that the Lie algebra $${\mathfrak {n}}$$
n
has a descending series of ideals invariant under all automorphisms of $${\mathfrak {n}}$$
n
and the dimension of the consecutive members of the series decreases by one. We call them metric Lie algebras having a framing determined by ideals. We classify the isometry equivalence classes and determine the isometry groups of connected and simply connected Riemannian nilmanifolds on 6-dimensional nilpotent Lie groups having a Lie algebra $${\mathfrak {n}}$$
n
as their Lie algebra.
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Discrete Mathematics and Combinatorics,General Mathematics
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