6 citations · 17 across the 11 of their papers we have counts for
13 papers
Symbols in Noncommutative Geometry
Keegan J. Flood, Mauro Mantegazza, Henrik Winther
In this paper we prove that the classical Lie bracket of vector fields can be generalized to the noncommutative setting by antisymmetrizing (in a suitable noncommutative sense) the…
Minimal Projective Orbits of Semi-simple Lie Groups
Henrik Winther
Let be a Lie group with representation on a real simple -module . We will call the orbits of the induced action of on the projectivization $P\mathbb{…
Jet Functors in Noncommutative Geometry
Keegan J. Flood, Mauro Mantegazza, Henrik Winther
In this article we construct three infinite families of endofunctors , , and on the category of left -modules, where is a unital associative al…
Differential geometry of -type structures -- Integrability
Ioannis Chrysikos, Jan Gregorovič, Henrik Winther
We study almost hypercomplex skew-Hermitian structures and almost quaternionic skew-Hermitian structures, as the geometric structures underlying - and $\maths…
Submaximally Symmetric Quaternion Hermitian Structures
Boris Kruglikov, Henrik Winther
We consider and resolve the gap problem for almost quaternion-Hermitian structures, i.e. we determine the maximal and submaximal symmetry dimensions, both for Lie algebras and Lie…
C-projective symmetries of submanifolds in quaternionic geometry
Aleksandra Borówka, Henrik Winther
The generalized Feix--Kaledin construction shows that c-projective -manifolds with curvature of type are precisely the submanifolds of quaternionic -manifolds which…
Erratum to: Almost complex structures in 6D with non-degenerate Nijenhuis tensors and large symmetry groups
Boris Kruglikov, Henrik Winther
We correct an error in the second part of Theorem 3 of our original paper (arXiv:1512.07161).
Non-degenerate Para-Complex Structures in 6D with Large Symmetry Groups
Boris Kruglikov, Henrik Winther
For an almost product structure on a manifold of dimension with non-degenerate Nijenhuis tensor , we show that the automorphism group has dimension at…
Reconstruction from Representations: Jacobi via Cohomology
Boris Kruglikov, Henrik Winther
A subalgebra of a Lie algebra determines -representation on . In this note we discuss ho…
Invariant connections and -Einstein structures on isotropy irreducible spaces
Ioannis Chrysikos, Christian O'Cadiz Gustad, Henrik Winther
This paper is devoted to a systematic study and classification of invariant affine or metric connections on certain classes of naturally reductive spaces. For any non-symmetric, ef…
Submaximally Symmetric Almost Quaternionic Structures
Boris Kruglikov, Henrik Winther, Lenka Zalabova
The symmetry dimension of a geometric structure is the dimension of its symmetry algebra. We investigate symmetries of almost quaternionic structures of quaternionic dimension .…
Almost complex structures in 6D with nondegenerate Nijenhuis tensors and large symmetry groups
Boris Kruglikov, Henrik Winther
For an almost complex structure in dimension 6 with nondegenerate Nijenhuis tensor , the automorphism group of maximal dimension is the exceptional Lie group $G…
Homogeneous almost complex structures in dimension 6 with semi-simple isotropy
Dmitri V. Alekseevsky, Boris Kruglikov, Henrik Winther
We classify invariant almost complex structures on homogeneous manifolds of dimension 6 with semi-simple isotropy. Those with non-degenerate Nijenhuis tensor have the automorphism…