Affiliation:
1. Moscow Pedagogical State University
Abstract
A general form of the equation of a curvilinear three-web admitting a one-parameter family of automorphisms (AW-webs) is found. It is proved that the trajectories of automorphisms of an AW-web are geodesics of its Chern connection. All AW-webs are found for which one of the covariant derivatives of curvature is zero.
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