Displaying similar documents to “A note on the hyperreflexivity constant for certain reflexive algebras”

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....