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Einstein tori and crooked surfaces

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Abstract

In hyperbolic space, the angle of intersection and distance classify pairs of totally geodesic hyperplanes. A similar algebraic invariant classifies pairs of hyperplanes in the Einstein universe. In dimension 3, symplectic splittings of a 4-dimensional real symplectic vector space model Einstein hyperplanes and the invariant is a determinant. The classification contributes to a complete disjointness criterion for crooked surfaces in the 3-dimensional Einstein universe.

Dates and versions

ensl-02409423 , version 1 (13-12-2019)

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Jean-Philippe Burelle, Virginie Charette, Dominik Francoeur, William M. Goldman. Einstein tori and crooked surfaces. 2019. ⟨ensl-02409423⟩

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