  Spintronics on flat surfaces has been studied over the years, and the
scenario is relatively well-known; however, there is a lack of information when
we consider non-flat surfaces. In this paper, we are concerned about the spin
dynamics of the ferromagnetic model on the spherical surface. We use the
Schwinger bosonic formalism for describing the thermodynamics of spin operators
in terms of spinon operators. Opposite to the flat two-dimensional model, which
is disordered at finite temperature, the curvature of the spherical surface
provides non-zero critical temperature for Schwinger boson condensation, which
characterizes order at finite temperature even in the absence of external
magnetic fields. The thermodynamics is then analyzed in the low-temperature
regime. In addition, we consider the presence of both static and oscillating
magnetic fields, the necessary condition for inducing the ferromagnetic
resonance, and we show systematically that the studied model is well-described
by $SU(2)$ coherent states, which provides the correct dynamics of the
magnetization. The archived results can be applied for describing a diversity
of experiments such as spin superfluidity, angular momentum injection by spin
pumping and spin-transfer torque in non-conventional junctions, magnon
dissipation, and magnetoelectronics on the spherical surface.
