On normal general connections

Normal frames for general connections on differentiable fibre bundles

The theory of frames normal for general connections on differentiable bundles is developed. Links with the existing theory of frames normal for covariant derivative operators (linear connections) in vector bundles are revealed. The existence of bundle coordinates normal at a given point and/or along injective horizontal path is proved. A necessary and sufficient condition of existence of bundle...

General report: session on connections

As a result of a world-wide intensive research activity, a new design concept for structural moment resistant joints has been suggested and implemented in design codes. In the present paper, its background is first briefly described and the main contributions to its development are presented. As a matter of fact, because of the high number of past and ongoing researches, reports and papers devo...

Connections for general group actions

Principal bundles serve as a powerful and elegant geometric framework for analyzing group actions and symmetry. Beyond their geometric origins, principal bundles play significant roles in the analysis of mechanical systems with symmetry, as well as the design of appropriate computational algorithms. A connection on a principal bundle is defined as an equivariant decomposition of vectors into in...

On Abelian Families and Holomorphic Normal Projective Connections

1.) Pm(C), 2.) smooth abelian families, 3.) manifolds with universal covering Bm(C). Here Bm(C) denotes the ball in C , the non compact dual of Pm(C) in the sense of hermitian symmetric spaces. The second point inlcudes the flat case of an abelian manifold. Any compact Riemann surface admits a holomorphic normal projective connection, this is the famous uniformization theorem. Kobayashi and Och...

Shen's Processes on Finslerian Connections