First integrals of geodesic equations of \(H\)-spaces of type \([411]\)
\textit{A. V. Aminova} [Russ. Math. Surv. 50, 69-143 (1995); translation from Usp. Mat. Nauk 50, No. 1, 69-142 (1995; Zbl 0888.53043)] developed a general method of finding (pseudo)Riemannian spaces which admit a nonhomothetic projective group. The author finds 6-dimensional \(H\)-spaces of type [4 1 1]. He determines the first integrals of geodesic equations generated by the projective transformations of these spaces.
scientific article; zbMATH DE number 1541527