Apuntes de clases por Luis Javier Hernandez Paricio

Lecture notes, exams and solutions, Mathematica programs for Differential Geometry and Homotopy Theory (by Luis Javier HERNÁNDEZ PARICIO)

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.

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

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.