A nearly parallel G_2-structure on a 7-dimensional Riemannian manifold is equivalent to a spin structure with a Killing spinor. We prove general results about the automorphism group of such structures and we construct new examples. We classify all nearly parallel G_2-manifolds with large symmetry group and in particular all homogeneous nearly parallel G_2-structures. (orig.)Available from TIB Hannover: RR 1596(162) / FIZ - Fachinformationszzentrum Karlsruhe / TIB - Technische InformationsbibliothekSIGLEDEGerman
Manifolds admitting Killing spinors are Einstein manifolds. Thus, a deformation of a Killing spinor ...
We study two different deformation theory problems on manifolds with a nearly G₂-structure. The firs...
Almost-flat manifolds were defined by Gromov as a natural generalisation of flat manifolds and as su...
Abstract: In this paper we review the Spin(7) geometry in relation to solvmanifolds. Starting from a...
summary:In some other context, the question was raised how many nearly Kähler structures exist on th...
Thesis (Ph. D.)--University of Rochester. Dept. of Mathematics, 2012.This dissertation consists of t...
We analyze the 16 classes ofG2-structures on compact ori-ented 7-manifolds, and study infinitesmal a...
summary:In some other context, the question was raised how many nearly Kähler structures exist on th...
summary:In some other context, the question was raised how many nearly Kähler structures exist on th...
We consider some deformations of G 2-structures on 7-manifolds. We discover...
$G_2$-structures defined by a closed positive 3-form constitute the starting point in known and pote...
summary:A G-structure on a Riemannian manifold is said to be integrable if it is preserved by the Le...
Si caratterizzano vartietà localmente conformi parallele G2 e Spin(7).We characterize compact locall...
AbstractWe classify 7-dimensional cocalibrated G2-manifolds with parallel characteristic torsion and...
We introduce spin-harmonic structures, a class of geometric structures on Riemannian manifolds of lo...
Manifolds admitting Killing spinors are Einstein manifolds. Thus, a deformation of a Killing spinor ...
We study two different deformation theory problems on manifolds with a nearly G₂-structure. The firs...
Almost-flat manifolds were defined by Gromov as a natural generalisation of flat manifolds and as su...
Abstract: In this paper we review the Spin(7) geometry in relation to solvmanifolds. Starting from a...
summary:In some other context, the question was raised how many nearly Kähler structures exist on th...
Thesis (Ph. D.)--University of Rochester. Dept. of Mathematics, 2012.This dissertation consists of t...
We analyze the 16 classes ofG2-structures on compact ori-ented 7-manifolds, and study infinitesmal a...
summary:In some other context, the question was raised how many nearly Kähler structures exist on th...
summary:In some other context, the question was raised how many nearly Kähler structures exist on th...
We consider some deformations of G 2-structures on 7-manifolds. We discover...
$G_2$-structures defined by a closed positive 3-form constitute the starting point in known and pote...
summary:A G-structure on a Riemannian manifold is said to be integrable if it is preserved by the Le...
Si caratterizzano vartietà localmente conformi parallele G2 e Spin(7).We characterize compact locall...
AbstractWe classify 7-dimensional cocalibrated G2-manifolds with parallel characteristic torsion and...
We introduce spin-harmonic structures, a class of geometric structures on Riemannian manifolds of lo...
Manifolds admitting Killing spinors are Einstein manifolds. Thus, a deformation of a Killing spinor ...
We study two different deformation theory problems on manifolds with a nearly G₂-structure. The firs...
Almost-flat manifolds were defined by Gromov as a natural generalisation of flat manifolds and as su...