2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/35619Local supersymmetry leads to boundary conditions for fermionic fields in one-loop quantum cosmology involving the Euclidean normal to the boundary and a pair of independent spinor fields. This paper studies the corresponding classical properties, i.e. the classical boundary-value problem and boundary terms in the variational problem. Interestingly, a link is found with the classical boundary-value problem when spectral boundary conditions are imposed on a 3-sphere in the massless case. Moreover, the boundary term in the action functional is derived.8 pages, plain-tex, recently appearing in Foundations of Physics Letters, volume 7, pages 303-308, year 1994General Relativity and Quantum Cosmologytext