11 citations · 19 across the 2 of their papers we have counts for
8 papers · 1 filter
Deformation of 2-step Nilmanifolds with Abelian Complex Structures
C. McLaughlin, H. Pedersen, Y. S. Poon +1
We develop deformation theory for abelian invariant complex structures on a nilmanifold, and prove that in this case the invariance property is preserved by the Kuranishi process.…
Complex Product Structures on Lie Algebras
Adrian Andrada, Simon Salamon
A study is made of real Lie algebras admitting compatible complex and product structures, including numerous 4-dimensional examples. If g is a Lie algebra with such a structure the…
The intrinsic torsion of SU(3) and G_2 structures
Simon Chiossi, Simon Salamon
We analyse the relationship between the components of the intrinsic torsion of an SU(3) structure on a 6-manifold and a G_2 structure on a 7-manifold. Various examples illustrate t…
Complex structures on the Iwasawa manifold
Georgios Ketsetzis, Simon Salamon
We identify the space of left-invariant oriented complex structures on the complex Heisenberg group, and prove that it has the homotopy type of the disjoint union of a point and a…
Anti-self-dual metrics on Lie groups
Vivian De Smedt, Simon Salamon
The aim of the paper is to determine left-invariant,anti-self-dual, non conformally flat, Riemannian metrics on four-dimensional Lie groups.
Almost Parallel Structures
Simon Salamon
A discussion of torsion of Riemannian G-structures leads to a survey of contributions of Alfred Gray and others on almost Hermitian manifolds, G_2-manifolds, curvature identities,…