2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/58179In this part of the series five-dimensional tangent vectors are introduced first as equivalence classes of parametrized curves and then as differential-algebraic operators that act on scalar functions. I then examine their basic algebraic properties and their parallel transport in the particular case where space-time possesses a special local symmetry. After that I give definition to five-dimensional tangent vectors associated with dimensional curve parameters and show that they can be identified with the five-vectors introduced formally in part I (math-ph/9805004). In conclusion I speak about differential forms associated with five-vectors.Full version of math-ph/9804011, 17 pages, no figures, LaTexMathematical PhysicsGeneral Relativity and Quantum CosmologyHigh Energy Physics - Theorytext