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- W2963207217 abstract "We prove, in the case of hyperbolic 3-space, a couple of conjectures raised by J. J. Seidel in On the volume of a hyperbolic simplex, Stud. Sci. Math. Hung. 21 (1986), 243–249. Seidel’s first conjecture states that the volume of an ideal tetrahedron in hyperbolic 3-space is determined by (the permanent and the determinant of) a certain Gram matrix G of its vertices; Seidel’s fourth conjecture claims that the mentioned volume is a monotonic function of both the permanent and the determinant of G. A stronger form of the first conjecture is obtained: the permanent and the determinant of G are actually coordinates on the space of all ideal tetrahedra." @default.
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- W2963207217 date "2019-04-17" @default.
- W2963207217 modified "2023-10-16" @default.
- W2963207217 title "SEIDEL’S CONJECTURES IN HYPERBOLIC 3-SPACE" @default.
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- W2963207217 doi "https://doi.org/10.1007/s00031-019-09528-5" @default.
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