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Plot Slope Field on Cylindrical Surface?

I want to wrap a slope field graphics object (obtained with plot_slope_field) on a cylindrical surface.

Is there a general way to wrap a Graphics object onto a surface, such as by applying a Transform on a Graphics3D object?

Or a particular way to make a slope field on non-planar surfaces?

Plot Slope Field on Cylindrical Surface?

I want to wrap a slope field graphics object (obtained with plot_slope_field) on a cylindrical surface.

Is there a general way to wrap a Graphics object onto a surface, such as by applying a Transform on a Graphics3D object?

Or a particular way to make a slope field on non-planar surfaces?