12 citations · 31 across the 6 of their papers we have counts for
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On generalized quasi-Sasaki manifolds
Christof Puhle
We study 5-dimensional Riemannian manifolds that admit an almost contact metric structure. In particular, we generalize the class of quasi-Sasaki manifolds and characterize these s…
Almost contact metric 5-manifolds and connections with torsion
Christof Puhle
We study 5-dimensional Riemannian manifolds that admit an almost contact metric structure. We classify these structures by their intrinsic torsion and review the literature in term…
Riemannian manifolds with structure group PSU(3)
Christof Puhle
We study 8-dimensional Riemannian manifolds that admit a PSU(3)-structure. We classify these structures by their intrinsic torsion and characterize the corresponding classes via di…
Spin(7)-manifolds with parallel torsion form
Christof Puhle
Any Spin(7)-manifold admits a metric connection \nabla^c with totally skew-symmetric torsion T^c preserving the underlying structure. We classify those with \nabla^c-parallel T^c\n…
The Killing spinor equation with higher order potentials
Christof Puhle
Let (M^n,g) be a Riemannian spin manifold. The basic equations in supergravity models of type IIa string theory with 4-form flux involve a 3-form T, a 4-form F, a spinorial covaria…