The K-property ofN billiard balls II. Computation of neutral linear spaces

SummaryThe present second part of the article “The K-property ofN billiard balls” finishes the proof of the Kolmogorov mixing property for hard ball systems in tori, provided that the number of balls dos not exceed the dimension of the torus. The missing computation of the linear spaces of non-expanding and non-contracting tangent vectors at phase points with combinatorially rich symbolic collision sequences is presented hereby.