113 citations · 861 across the 43 of their papers we have counts for
45 papers
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…
Spinorial description of - and -manifolds
Ilka Agricola, Simon G. Chiossi, Thomas Friedrich +1
We present a uniform description of -structures in dimension as well as -structures in dimension in terms of a characterising spinor and the spinorial…
The classification of naturally reductive homogeneous spaces in dimensions
Ilka Agricola, Ana Cristina Ferreira, Thomas Friedrich
We present a new method for classifying naturally reductive homogeneous spaces -- i.\,e.~homogeneous Riemannian manifolds admitting a metric connection with skew torsion that has p…
Cocalibrated G_2-manifolds with Ricci flat characteristic connection
Thomas Friedrich
Any 7-dimensional cocalibrated G_2-manifold admits a unique connection with skew symmetric torsion. We study these manifolds under the additional condition that the $\nabl…
Sp(3) structures on 14-dimensional manifolds
Ilka Agricola, Thomas Friedrich, Jos Höll
The present article investigates Sp(3) structures on 14-dimensional Riemannian manifolds, a continuation of the recent study of manifolds modeled on rank two symmetric spaces (here…
The second Dirac eigenvalue of a nearly parallel -manifold
Thomas Friedrich
We investigate the second Dirac eigenvalue on Riemannian manifolds admitting a Killing spinor. In small dimensions the whole Dirac spectrum depends on special eigenvalues on functi…