20 citations · 21 across the 4 of their papers we have counts for
4 papers · 1 filter
The Geometry of Polygons in R^5 and Quaternions
Philip Foth, Guadalupe Lozano
We consider the moduli space M_r of polygons with fixed side lengths in five-dimensional eucledian space. We analyze the local structure of its singularities and exhibit a real-ana…
Geometry of Four-vector Fields on Quaternionic Flag Manifolds
Philip Foth, Frederick Leitner
The purpose of this paper is to describe certain natural 4-vector fields on quaternionic flag manifolds, which geometrically determine the Bruhat cell decomposition. This structure…
Integrable systems associated with the Bruhat Poisson structures
Philip Foth
The purpose of this note is to give a simple description of a (complete) family of functions in involution on certain hermitian symmetric spaces. This family, obtained via bi-hamil…
Logarithmic forms with twisted coefficients
Philip Foth
Given a compact Kaehler manifold, we consider the complement U of a divisor with normal crossings and a unitary local system V on it. We consider a differential graded Lie algebra…