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Gromov product : ウィキペディア英語版
Gromov product
In mathematics, the Gromov product is a concept in the theory of metric spaces named after the mathematician Mikhail Gromov. The Gromov product can also be used to define ''δ''-hyperbolic metric spaces in the sense of Gromov.
==Definition==

Let (''X'', ''d'') be a metric space and let ''x'', ''y'', ''z'' ∈ ''X''. Then the Gromov product of ''y'' and ''z'' at ''x'', denoted (''y'', ''z'')''x'', is defined by
:(y, z)_ = \frac1 \big( d(x, y) + d(x, z) - d(y, z) \big).

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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