Вестник московского государственного областного университета. Серия: Физика-математика (May 2017)
THE LOCAL PROJECTIVE FLAT MODEL OF THE SPHERE
Abstract
The paper examines geometric and algebraic properties of locally symmetric differential affine-connected manifolds of constant positive curvature by the example of spheres. The identities in a geodesic loop of spherical spaces are discussed, homotheties, geodesic symmetries and parallel translations are described in the local coordinate system which is common with a locally flat space with affine connection.