  Recently, topological superconductor is one of the important topics in
condensed matter physics due to the exotic features of quasiparticles resided
on the edge, surface and vortex core. In our work, we analyze the two
dimensional s+p wave noncentrosymmetric superconductor(NCS) with Rashba
spin-orbit coupling in 2D cylindrical coordinate to find the relationship
between the topological phase transition and the curvature. With analytical
calculation and numerical analyze, we confirm that the topological phase
transition in s+p wave NCS in 2D cylindrical coordinate is related to the
curvature from band theory perspective.
