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Einstein tori and crooked surfaces

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.
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Preprints, Working Papers, ...
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Contributor : Dominik Francoeur Connect in order to contact the contributor
Submitted on : Friday, December 13, 2019 - 2:20:23 PM
Last modification on : Tuesday, January 18, 2022 - 4:50:01 PM

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  • HAL Id : ensl-02409423, version 1
  • ARXIV : 1702.08414



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



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