The fundamental theorem of geometric calculus via a generalized Riemann integral

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/77124Using recent advances in integration theory, we give a proof of the fundamental theorem of geometric calculus. We assume only that the tangential derivative $\nabla_VF$ exists and is Lebesgue integrable. We also give sufficient conditions that $\nabla_VF$ exists.To appear in Advances in Applied Clifford AlgebrasDifferential GeometryMathematical Physics58C35The fundamental theorem of geometric calculus via a generalized Riemann integraltext