Polynomial metrics, match processes and K-ingles
2009jbx | A.V. Koganov  // Institute of system researches of RAS, Moscow, Russia, koganow@niisi.msk.ru

It showed that any Finsler metric of polynomial type in linear spaces correspond the process which defined by particle derivates and had match group of invariance. It inputted the notion of polynomial generalization for metrics of Galileo, Euclid and Minkovsky types on base of standard connection. It showed that the special geometrical K-placed relations (K-ingle) may be inputting on base of polynomial metrics in space of any dimension and any number K. The standard norms and scalar products are particle cases for 1- and 2-ingle. It had the natural operation of decreasing number of places in ingle.

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