Journal of the
Korean Mathematical Society JKMS

In this paper we briefly describe the geometry of the Cayley hyperbolic plane and we show that every uniform lattice in quaternionic space cannot be deformed in the Cayley hyperbolic 2-plane. We also describe the nongeometric bending deformation by developing the theory of the Cartan angular invariant for quaternionic hyperbolic space.

Keywords: symmetric space, Cartan angular invariant, uniform lattice, bending deformation

MSC numbers: 51M10, 57S25