2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/49850The D-dimensional conformal nonlinear sigma-models (NSM) sre constructed. It is shown that the NSM on spaces with $π_{D-1} = \mathbb {Z}$ have the topological solutions of a "hedgehog" and "anti-hedgehog" types with logarithmic energies. For spaces with $π_D \ne 0$ they have also the topological excitations of instanton types with finite energies.11 pages, Latex-2eHigh Energy Physics - TheoryD-Dimensional Conformal $σ$-models and Topological Excitationstext