  In this paper, we investigate the influence of the geometry in the electronic
states of a quantum Beltrami surface. We have considered an electron governed
by the spinless stationary Schr\"{o}dinger equation constrained to move on the
Beltrami surface due to a confining potential from which the Da Costa potential
emerges. We investigate the role played by the geometry and orbital angular
momentum on the electronic states of the system.
