129 citations · 208 across the 8 of their papers we have counts for
8 papers · 1 filter
-Einstein Sasakian Lie algebras
Adrián M. Andrada, Simon G. Chiossi, Alberth J. Nuñez
We study -Einstein Sasakian structures on Lie algebras, that is, Sasakian structures whose associated Ricci tensor satisfies an Einstein-like condition. We divide into the cases…
Spinorial description of - and -manifolds
Ilka Agricola, Simon G. Chiossi, Thomas Friedrich +1
We present a uniform description of -structures in dimension as well as -structures in dimension in terms of a characterising spinor and the spinorial…
SO(3)-Structures on 8-manifolds
Simon G. Chiossi, Óscar Maciá
We study Riemannian 8-manifolds with an infinitesimal action of SO(3) by which each tangent space breaks into irreducible spaces of dimensions 3 and 5. The relationship with quater…
Nearly integrable SO(3)-structures on 5-dimensional Lie groups
Anna Fino, Simon Chiossi
Recent work Bobienski-Nurowski on 5-dimensional Riemannian manifolds with an SO(3) structure prompts us to investigate which Lie groups admit such a geometry. The case in which the…
Special metrics in geometry
Simon G. Chiossi, Anna Fino
We review a recent series of manifolds constructed via solvable Lie groups obtained in math.DG/0409137. They carry two related distinguished metrics, one negative Einstein an…
Conformally parallel G_2 structures on a class of solvmanifolds
Simon G. Chiossi, Anna Fino
Starting from a 6-dimensional nilpotent Lie group N endowed with an invariant SU(3) structure, we construct a homogeneous conformally parallel G_2-metric on an associated solvmanif…
G_2-structures with torsion from half-integrable nilmanifolds
Simon Chiossi, Andrew Swann
The equations for a G_2-structure with torsion on a product M^7 = N^6 x S^1 are studied in relation to the induced SU(3)-structure on N^6. All solutions are found in the case when…
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…