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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 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...