44 citations · 45 across the 2 of their papers we have counts for
2 papers
math.DG2013★ 1 cited
Bach-flat Lie groups in dimension 4
Elsa Abbena, Sergio Garbiero, Simon Salamon
We establish the existence of solvable Lie groups of dimension 4 and left-invariant Riemannian metrics with zero Bach tensor which are neither conformally Einstein nor half conform…
math.DG2000★ 44 cited
Almost Hermitian Geometry on Six Dimensional Nilmanifolds
E. Abbena, S. Garbiero, S. Salamon
The fundamental 2-form of an invariant almost Hermitian structure on a 6-dimensional Lie group is described in terms of an action by SO(4)xU(1) on complex projective 3-space. This…