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Surfaces (mathématiques) --- Géométrie différentielle globale --- Global differential geometry --- Surfaces --- Géometrie intégrale --- Global differential geometry. --- Surfaces. --- Géométrie différentielle globale. --- Géometrie intégrale --- Surfaces (mathématiques) --- Variétés différentiables --- Formes differentielles

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Differential geometry. Global analysis --- Geometry, Riemannian. --- Geometry, Riemannian --- Riemann, Géométrie de --- Global analysis (Mathematics) --- Morse theory --- Analyse globale (mathématiques) --- Morse, Théorie de --- Morse, Théorie de. --- Riemann geometry --- Riemannian geometry --- Generalized spaces --- Geometry, Non-Euclidean --- Semi-Riemannian geometry --- Geodesics (Mathematics) --- Géodésiques (mathématiques) --- geometri, --- riemann --- riemannsk --- geometri --- 514.7 --- 514.7 Differential geometry. Algebraic and analytic methods in geometry --- Differential geometry. Algebraic and analytic methods in geometry --- Géometrie de Riemann --- Géometrie différentielle --- Analyse globale (mathématiques) --- Géometrie de Riemann --- Géometrie différentielle --- Riemann, Variétés de

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This volume of selected academic papers demonstrates the significance of the contribution to mathematics made by Manfredo P. do Carmo. Twice a Guggenheim Fellow and the winner of many prestigious national and international awards, the professor at the institute of Pure and Applied Mathematics in Rio de Janeiro is well known as the author of influential textbooks such as Differential Geometry of Curves and Surfaces. The area of differential geometry is the main focus of this selection, though it also contains do Carmo's own commentaries on his life as a scientist as well as assessment of the impact of his researches and a complete list of his publications. Aspects covered in the featured papers include relations between curvature and topology, convexity and rigidity, minimal surfaces, and conformal immersions, among others. Offering more than just a retrospective focus, the volume deals with subjects of current interest to researchers, including a paper co-authored with Frank Warner on the convexity of hypersurfaces in space forms. It also presents the basic stability results for minimal surfaces in the Euclidean space obtained by the author and his collaborators. Edited by do Carmo's first student, now a celebrated academic in her own right, this collection pays tribute to one of the most distinguished mathematicians.

Geometry, Differential. --- Geometry. --- Mathematics. --- Mathematics --- Physical Sciences & Mathematics --- Geometry --- Global differential geometry. --- Differential geometry --- Differential geometry. --- History. --- Manifolds (Mathematics). --- Complex manifolds. --- Differential Geometry. --- History of Mathematical Sciences. --- Manifolds and Cell Complexes (incl. Diff.Topology). --- Geometry, Differential --- Cell aggregation --- Aggregation, Cell --- Cell patterning --- Cell interaction --- Microbial aggregation --- Euclid's Elements --- Analytic spaces --- Manifolds (Mathematics) --- Topology --- Annals --- Auxiliary sciences of history --- Math --- Science