Examples of Exact Exponential Cosmological Solutions with Three Isotropic Subspaces in Einstein–Gauss–Bonnet Gravity

We consider $$(1+8)$$ - and $$(1+10)$$ -dimensional Einstein–Gauss–Bonnet models with a cosmological constant. Some new examples of exact solutions are obtained, governed by three non-coinciding constant Hubble-like parameters $$H\neq 0$$ , $$h_{1}$$ $$h_{2}$$ obeying the condition $$mH+k_{1}h_{1}+k_{2}h_{2}\neq corresponding to factor spaces dimensions $$m\geqslant 3$$ $$k_{1}>1$$ $$k_{2}\geqslant 1$$ . In this case, multidimensional model deals four spaces: external 3D (“our”) world internal subspaces $$m-3$$ $$k_{1}$$ $$k_{2}$$