  A multidimensional gravitational model containing scalar fields and
antisymmetric forms is considered. The manifold is chosen in the form M = M_0 x
M_1 x ... x M_n, where M_i are Einstein spaces (i > 0). The sigma-model
approach and exact solutions with intersecting composite branes (e.g.,
solutions with harmonic functions and black brane ones) with intersection rules
related to non-singular Kac-Moody (KM) algebras (e.g. hyperbolic ones) are
considered. Some examples of black brane solutions are presented, e.g., those
corresponding to hyperbolic KM algebras: H_2(q,q) (q > 2), HA_2^(1) = A_2^{++}
and to the Lorentzian KM algebra P_{10}.
