108 citations · 348 across the 28 of their papers we have counts for
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Invariant Spinors on Homogeneous Spheres
Ilka Agricola, Jordan Hofmann, Marie-Amélie Lawn
Using the characterization of the spin representation in terms of exterior forms, we give a complete classification of invariant spinors on the nine homogeneous realizations of the…
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…
Generalizations of 3-Sasakian manifolds and skew torsion
Ilka Agricola, Giulia Dileo
In the first part, we define and investigate new classes of almost 3-contact metric manifolds, with two guiding ideas in mind: first, what geometric objects are best suited for cap…
and the geometry of nearly Kähler -manifolds
Ilka Agricola, Aleksandra Borówka, Thomas Friedrich
We review results on and around the almost complex structure on , both from a classical and a modern point of view. These notes have been prepared for the Workshop "(Non)-exis…
Tangent Lie groups are Riemannian naturally reductive spaces
Ilka Agricola, Ana Cristina Ferreira
Given a compact Lie group with Lie algebra , we consider its tangent Lie group . In this short note, we prove that $T…
Manifolds with vectorial torsion
Ilka Agricola, Margarita Kraus
The present note deals with the properties of metric connections with vectorial torsion on semi-Riemannian manifolds . We show that the -curvature is…