2 papers
math.DG2021
A classification of left-invariant pseudo-Riemannian metrics on some nilpotent Lie groups
Yuji Kondo
It is known that a connected and simply-connected Lie group admits only one left-invariant Riemannian metric up to scaling and isometry if and only if it is isomorphic to the Eucli…
math.DG2020
A classification of left-invariant Lorentzian metrics on some nilpotent Lie groups
Yuji Kondo, Hiroshi Tamaru
It has been known that there exist exactly three left-invariant Lorentzian metrics up to scaling and automorphisms on the three dimensional Heisenberg group. In this paper, we clas…