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math.DG2001
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…
math.DG2001
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…