About almost geodesic curves

Abstract

We determine in Rn the form of curves C for which also any image under an (n-1)-dimensional algebraic torus is an almost geodesic with respect to an affine connection ? with constant coefficients and calculate the components of ?.

Our Friend and Mathematician Karl Strambach

“…The goal of authors is a classification of Hjelmslev geometries H, the lines of which are almost geodesics with respect to a complex affine connection ∇. The investigations and calculations are not easy, but some goals have been achieved in [4][5][6].…”

Generalized Affine Connections Associated with the Space of Centered Planes

“…The theory of affine connections is widely used in physics [17][18][19][20][21] and by studying geodesics [22] (see, e.g., [23][24][25][26][27][28]).…”