Author： Et-Taoui B.
Publisher： Springer Publishing Company
ISSN： 0046-5755
Source： Geometriae Dedicata, Vol.63, Iss.3, 1996-12, pp. : 297-308
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Abstract
We investigate in CPn m-tuples of points in which all ordered triples are pairwise isometric. Such m-tuples are called F-regular. We show that for a given triangle T there exist at most two isometry classes of F-regular quintuples containing T. We also investigate F-regular m-tuples in which all (unordered) k-tuples (k < m) are pairwise isometric. Such m-tuples are called k-regular. We show that 4-regularity implies k-regularity for all k ≥ 5.
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