Now showing items 1-6 of 6

• #### Generalized Killing spinors and Lagrangian graphs ﻿

[OWP-2014-11] (Mathematisches Forschungsinstitut Oberwolfach, 2014-08-20)
We study generalized Killing spinors on the standard sphere $\mathbb{S}^3$, which turn out to be related to Lagrangian embeddings in the nearly Kähler manifold $S^3 \times S^3$ and to great circle flows on $\mathbb{S}^3$. ...
• #### Generalized Vector Cross Products and Killing Forms on Negatively Curved Manifolds ﻿

[OWP-2018-17] (Mathematisches Forschungsinstitut Oberwolfach, 2018-07-17)
Motivated by the study of Killing forms on compact Riemannian manifolds of negative sectional curvature, we introduce the notion of generalized vector cross products on $\mathbb{R}^n$ and give their classification. Using ...
• #### Invariant Four-forms and Symmetric Pairs ﻿

[OWP-2012-03] (Mathematisches Forschungsinstitut Oberwolfach, 2012-04-24)
We give criteria for real, complex and quaternionic representations to define $s$-representations, focusing on exceptional Lie algebras defined by spin representations. As applications, we obtain the classification of ...
• #### Killing Tensors on Tori ﻿

[OWP-2016-20] (Mathematisches Forschungsinstitut Oberwolfach, 2016-11-10)
We show that Killing tensors on conformally at n-dimensional tori whose conformal factor only depends on one variable, are polynomials in the metric and in the Killing vector fields. In other words, every first integral ...
• #### Metric Connections with Parallel Skew-Symmetric Torsion ﻿

[OWP-2018-16] (Mathematisches Forschungsinstitut Oberwolfach, 2018-07-16)
A geometry with parallel skew-symmetric torsion is a Riemannian manifold carrying a metric connection with parallel skew-symmetric torsion. Besides the trivial case of the Levi-Civita connection, geometries with non-vanishing ...
• #### Weakly Complex Homogeneous Spaces ﻿

[OWP-2012-04] (Mathematisches Forschungsinstitut Oberwolfach, 2012-04-24)
We complete our recent classification of compact inner symmetric spaces with weakly complex tangent bundle by filling up a case which was left open, and extend this classification to the larger category of compact homogeneous ...