When one considers bivectors on space-time as the basic geometrical objects in place of vectors one is led to the principal bundle of biframes L 2 M in place of the linear frame bundle LM. L 2 M is thus the natural arena for studying the geometry of bivectors on space-time. In this paper we develop the geometry on L 2 M including the concepts of connections, soldering form, curvature, bitorsion, generalized Bianchi identities, and associated bundles

K. S. Hammon

Papers

Space-time geometry and the bundle of biframes. I : Geometrical developments