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math.DG2012★ 1 cited
Cross ratios and the Ptolemaean inequality in boundaries of symmetric spaces of rank 1
Ioannis D. Platis
We use generalised cross--ratios to prove the Ptolemaean inequality and the Theorem of Ptolemaeus in the setting of the boundary of symmetric Riemannian spaces of rank 1 and of neg…
math.DG2012★ 2 cited
Complex cross--ratios and the Ptolemaean inequality
Ioannis D. Platis
We use Korányi--Reimann complex cross--ratios to prove the Ptolemaean inequality and the Theorem of Ptolemaeus in the setting of the boundary of complex hyperbolic space and the fi…