Аннотация:
We discuss some connections between sphere packing (kissing spheres) in
Euclidean spaces $\mathbb R^n$ (or spheres $S^n={\mathbb R^n} \cup{\infty}$)
and possible “block-buildings” in the complex (or
quaternionic) hyperbolic geometry and CR-geometry at its infinity. This
approach grows from several successful applications of our method of
block-building of real hyperbolic manifolds/orbifolds, their
deformations, unusual ergodic actions of their fundamental groups
(hyperbolic lattices) and related cobordisms.
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