|We investigate finite sequences of hyperplanes in a pseudosphere. |
To each such sequence we associate a square symmetric
matrix, the Gram matrix, which gives information about
angle and incidence properties of the hyperplanes. We find
when a given matrix is the Gram matrix of some sequence of
hyperplanes, and when a sequence is determined up to
isometry by its Gram matrix.
We also consider subspaces of pseudospheres and projections
onto them. This leads to an $n$-dimensional cosine
rule for spherical and hyperbolic simplices.
Math Review Classification
Primary 15A21, 51M10
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