We study topological properties of automorphisms of a 6-dimensional torus
generated by integer matrices symplectic with respect to either the standard
symplectic structure in six-dimensional linear space or a nonstandard
symplectic structure given by an integer skew-symmetric non-degenerate matrix.
Such a symplectic matrix generates a partially hyperbolic automorphism of the
torus, if it has eigenvalues both outside and on the unit circle. We study the
case (2,2,2), numbers are dimensions of stable, center and unstable subspaces
of the matrix. We study transitive and decomposable cases possible here and
present a classification in both cases.Comment: 15 pages, 0 figures. arXiv admin note: text overlap with
arXiv:2001.1072