On kinematics and differential geometry of Euclidean submanifolds.
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Balkan Journal of Geometry and its Applications (BJGA)
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Tunçer, Yılmaz, Yayh, Yusuf, Saǧel, M.Kemal (2008)
Balkan Journal of Geometry and its Applications (BJGA)
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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....
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SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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