  To investigate quantum nature of two dimensional electrons subject to high
perpendicular magnetic fields, usually a planar electronic Fabry-P\'erot
interferometer is utilized. In this work, we investigate an interferometer
defined on a curved heterostructure. In the presence of a magnetic field
perpendicular to the cylindrical axis, the location and the properties of the
edge channels depend on the radial component of the magnetic field. Considering
a curved structure, we perform numerical and semi-analytical calculations to
determine widths of the incompressible edge states. We observe that the edge
states form a closed loop for certain magnetic field strengths yielding
observation of conductance oscillations, which can be manipulated by changing
the Azimuthal angle mechanically. In addition, we investigate the effect of
spin polarization on the edge state distribution considering Zeeman splitting
and obtained odd integer edge states. The proposed experiment would yield a
novel method to clarify the ongoing debate on the origin of conductance
oscillations, namely whether they stem from Aharonov-Bohm phase or charging
effects
