Semi-parallel and parallel symplectic surfaces in the four-dimensional symplectic space
Keywords: symplectic space, parallel and semi-parallel symplectic surfaces
Parallel and semi-parallel symplectic surfaces in the symplectic space Sp4 are studied. It is proved that a symplectic surface is semi-parallel if and only if its tangent connection is flat. The parallel symplectic surfaces are characterized and the existence of semi-parallel symplectic surfaces which are not parallel is exhibited. The study is conducted by the method of moving frame.
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