Homotopy Theory:
1. | Grupoide fundamental y aplicaciones recubridoras (Spanish), 98 pp. (pdf, 2002). |
2. | Mathematica program which approaches a data file by a pure cubic complex and computes the homology of a finite cubic complex. EDH |
Differential Geometry:
1. | Introducción a la Geometría Diferencial, 172 pp. (Spanish, pdf, 2003). |
2. | RiemannianGeometry2007, The Package RiemmannnianGeometry has been developed to be used with the application Mathematica, is quite useful for the following processes: |
1) It calculates the pseudometric induced by an inmersion of a manifold M into a pseudoriemannian manifold N, | |
2) Using the pseudometric coefficients it calculates the Christoffel symbols, the differential equations of the geodesics, the coefficients of the curvature tensor and the sectional curvature. |