108 citations · 348 across the 28 of their papers we have counts for
32 papers
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…
On the history of the Hopf problem
Ilka Agricola, Giovanni Bazzoni, Oliver Goertsches +2
This short note serves as a historical introduction to the Hopf problem: "Does there exist a complex structure on ?" This unsolved mathematical question was the subject of the…
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…