Affiliation:
1. Ivanovo State University, Ermaka St. 39, Ivanovo 153025, Russia
Abstract
A family of geometries on S7 arise as solutions of the classical equations of motion in 11 dimensions. In addition to the conventional Riemannian geometry and the two exceptional Cartan–Schouten compact flat geometries with torsion, one can also obtain non-flat geometries with torsion. This torsion is given locally by the structure constants of a non-associative geodesic loop in the affinely connected space.
Publisher
World Scientific Pub Co Pte Lt
Subject
Physics and Astronomy (miscellaneous)