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MR1756637 53C50 (52A38 53C65)
Suárez-Peiró, Eva A Schläfli differential formula for simplices in semi-Riemannian hyperquadrics, Gauss-Bonnet formulas for simplices in the de Sitter sphere and the dual volume of a hyperbolic simplex. Pacific J. Math. 194 (2000), no. 1, 229–255.
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