A compact –dimensional manifold is a non-singular graph-manifold if it can be obtained by the glueing –bundles over compact surfaces (with boundary) of negative Euler characteristics. If none of glueing diffeomorphisms respect the bundle structures, the graph-structure is called reduced. We prove that any homotopy equivalence of closed oriented –manifolds with reduced nonsingular graph-structures is homotopic to a diffeomorphism preserving the structures.
"Non-singular graph-manifolds of dimension 4." Algebr. Geom. Topol. 5 (3) 1051 - 1073, 2005. https://doi.org/10.2140/agt.2005.5.1051