3 citations · 3 across the 2 of their papers we have counts for
5 papers
Half-flat structures on indecomposable Lie groups
Marco Freibert, Fabian Schulte-Hengesbach
This article can be viewed as a continuation of the articles arXiv:0912.3486 and arXiv:1012.3714 where the decomposable Lie algebras admitting half-flat SU(3)-structures are classi…
Half-flat structures on decomposable Lie groups
Marco Freibert, Fabian Schulte-Hengesbach
Half-flat SU(3)-structures are the natural initial values for Hitchin's evolution equations whose solutions define parallel G_2-structures. Together with the results of arXiv:0912.…
Half-flat structures on products of three-dimensional Lie groups
Fabian Schulte-Hengesbach
We classify six-dimensional Lie groups which admit a left-invariant half-flat SU(3)-structure and which split in a direct product of three-dimensional factors. Moreover, a complete…
Nearly pseudo-Kähler and nearly para-Kähler six-manifolds
Lars Schäfer, Fabian Schulte-Hengesbach
The subject of this paper is six-dimensional nearly (para-)Kähler geometry with pseudo-Riemannian metrics. Firstly, we derive the analogue of the well-known exterior differential s…
Half-flat Structures and Special Holonomy
Vicente Cortés, Thomas Leistner, Lars Schäfer +1
It was proven by Hitchin that any solution of his evolution equations for a half-flat SU(3)-structure on a compact six-manifold M defines an extension of M to a seven-manifold with…