Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In mathematics, the Gromov product is a concept in the theory of metric spaces named after the mathematician Mikhail Gromov. Intuitively, the Gromov product measures the distance for which two geodesics starting at the same point remain "close together". The Gromov product can also be used to define -hyperbolic metric spaces in the sense of Gromov. The Gromov product is symmetric: (y, z)x = (z, y)x.