Manfredo P. Do Carmo - Selected Papers

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This book is a collection of selected papers by Manfredo do Carmo, the well known author of textbooks such as Differential Geometry of Curves and Surfaces which has been translated into several languages. The subject of the papers is mostly Differential Geometry, including relations between curvature and topology, convexity and rigidity, minimal surfaces, conformal immersions, and further related topics. The papers deal with topics of interest to current researchers. For instance, the paper by do Carmo and Warner summarizes the state of the art in the area of convexity of hypersurfaces in space forms. Furthermore, some of the papers on minimal surfaces present the basic stability results for minimal surfaces in the euclidean space obtained by the author and his collaborators.