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Displaying similar documents to “On nonlinear connections in higher order Lagrange spaces.”

On some flat connection associated with locally symmetric surface

Maria Robaszewska (2014)

Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica

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For every two-dimensional manifold M with locally symmetric linear connection ∇, endowed also with ∇-parallel volume element, we construct a flat connection on some principal fibre bundle P(M,G). Associated with - satisfying some particular conditions - local basis of TM local connection form of such a connection is an R(G)-valued 1-form build from the dual basis ω1, ω2 and from the local connection form ω of ▽. The structural equations of (M,∇) are equivalent to the condition dΩ-Ω∧Ω=0....