Geodesic simplices of pseudo-hyperbolic space
Abstract
We give a cohomological interpretation of the geodesic simplices of the pseudo-hyperbolic space of signature (p,q) and formulate a necessary and sufficient condition for such a simplex to have finite volume. As a corollary, we obtain that every ideal geodesic polytope in the pseudo-hyperbolic space of signature (2,2) has finite volume.
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