  Due to the charge neutral and localized nature of surface Majorana modes,
detection schemes usually rely on local spectroscopy or interference through
the Josephson effect. Here, we theoretically study the magnetic response of a
two-dimensional cone of Majorana fermions localized at the surface of class
DIII Topological Superconductors. For a field parallel to the surface the
Zeeman term vanishes and the orbital term induces a Doppler shift of the
Andreev levels resulting in a tilting of the surface Majorana cone. For fields
larger than a critical threshold field $H^*$ the system undergoes a transition
from type I to type II Dirac-Majorana cone. In a spherical geometry the surface
curvature leads to the emergence of the Majorana spin connection in the tilting
term via an interplay between orbital and Zeeman, that generates a finite
non-trivial coupling between negative and positive energy states. Majorana
modes are thus expected to show a finite response to the applied field, that
acquires a universal character in finite geometries and opens the way to
detection of Majorana modes via time-dependent magnetic fields.
