This is a free translation of a set of notes published originally in Portuguese in 1971. They were translated for a course in the College of Differential Geome- try, ICTP, Trieste, 1989. In the English translation we omitted a chapter on the Frobenius theorem and an appendix on the nonexistence of a complete hyperbolic plane in euclidean 3-space (Hilbert's theorem). For the present edition, we introduced a chapter on line integrals. In Chapter 1 we introduce the differential forms in Rn. We only assume an elementary knowledge of calculus, and the chapter can be used as a basis for a course on...
This is a free translation of a set of notes published originally in Portuguese in 1971. They were translated for a course in the College of Different...
This selection of papers by one of the outstanding geometers of the age focuses on the Brazilian professor's specialism of differential geometry and covers a host of topics from convexity and rigidity to relations between curvature and topology.
This selection of papers by one of the outstanding geometers of the age focuses on the Brazilian professor's specialism of differential geometry and c...
