Salimov, A. A. Holomorphic-projective transformations of connections on manifolds with structures defined by algebras. (Russian) Zbl 0607.53010 Tr. Geom. Semin. 16, 91-103 (1984). For spaces with a symmetric affine connection having an integrable polyaffine structure determining an n-regular presentation of an associative commutative unitary algebra, an analog to the well-known theory of holomorphic-projective transformations of complex manifolds, i.e. transformations preserving hypercomplex geodesics, is constructed. A class of manifolds admitting holomorphic-projective transformations into a flat space is distinguished, a tensorial condition for such spaces is obtained. Infinitesimal holomorphic-projective transformations, preserving a polyaffine structure are studied. Reviewer: J.Mikeš Cited in 1 Document MSC: 53B05 Linear and affine connections 53C15 General geometric structures on manifolds (almost complex, almost product structures, etc.) Keywords:affine connection; polyaffine structure; holomorphic-projective transformations PDF BibTeX XML Cite \textit{A. A. Salimov}, Tr. Geom. Semin. 16, 91--103 (1984; Zbl 0607.53010) Full Text: EuDML