Mathematics – Differential Geometry
Scientific paper
2001-06-13
Mathematics
Differential Geometry
To appear in: Proceedings of the International Congress of Differential Geometry in the memory of A. Gray, held in Bilbao, Sep
Scientific paper
We describe an action of $U(1)\times Sp(1)$ on $HP^7$ that allows to obtain a
$Z_2$-quotient of CAYLEY (the Grassmannian of oriented 4-planes in $R^8$ closed
under the three-fold cross product) by quaternionic K\"ahler reduction.
Ornea Liviu
Piccinni Paolo
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