8 citations · 12 across the 7 of their papers we have counts for
7 papers
Reducible Holonomy in Closed Torsion Geometries
Leander Stecker
The purpose of this note is to show that a connection with closed skewsymmetric torsion and reducible holonomy admits a locally defined Riemannian submersion together with a projec…
The heterotic G system with reducible characteristic holonomy
Mateo Galdeano, Leander Stecker
We construct solutions to the heterotic G system on almost contact metric manifolds with reduced characteristic holonomy. We focus on --Sasaki manifolds and -S…
Canonical Submersions in Nearly Kähler Geometry
Leander Stecker
We explore submersions introduced by reducible holonomy representations of connections with parallel skew torsion. A submersion theorem extending previous, less general, results is…
On Degenerate --Sasakian Manifolds
Oliver Goertsches, Leon Roschig, Leander Stecker
We propose a new method to construct degenerate --Sasakian manifolds as fiber products of Boothby-Wang bundles over hyperkähler manifolds. Subsequently, we study homogene…
Curvature Properties of 3--Sasaki Manifolds
Ilka Agricola, Giulia Dileo, Leander Stecker
We investigate curvature properties of 3--Sasaki manifolds, a special class of almost 3-contact metric manifolds generalizing 3-Sasaki manifolds (corresponding to )…
Revisiting the Classification of Homogeneous 3-Sasakian and Quaternionic Kähler Manifolds
Oliver Goertsches, Leon Roschig, Leander Stecker
We provide a new, self-contained proof of the classification of homogeneous 3-Sasakian manifolds, which was originally obtained by Boyer, Galicki and Mann. In doing so, we construc…
Homogeneous non-degenerate --Sasaki manifolds and submersions over quaternionic Kähler spaces
Ilka Agricola, Giulia Dileo, Leander Stecker
We show that every --Sasaki manifold of dimension admits a locally defined Riemannian submersion over a quaternionic Kähler manifold of scalar curvature $16n(n+2…