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It seems that you're in Germany. We have a dedicated site for Germany. This volume of selected academic papers demonstrates the significance of the contribution to mathematics made by Manfredo P. 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.
Free Preview. Buy eBook. Buy Hardcover. Buy Softcover. Rent the eBook. FAQ Policy. About this book This volume of selected academic papers demonstrates the significance of the contribution to mathematics made by Manfredo P.
Show all. This list extends to more than 80 research articles and several books that set milestones in differential geometry. The increase of research on differential geometry in Brazil is thus rigorously documented and the result presented as fundamental reading for this field.
Isometric immersions with semi-definite second quadratic forms Pages Carmo, Manfredo P. Minimal immersions of spheres into spheres Pages Carmo, Manfredo P. Conformal Rigidity Pages Carmo, Manfredo do et al.
Lucas et al. Compact minimal hypersurfaces with index one in the real projective space Pages Carmo, Manfredo do et al. Ricci curvature and the topology of open manifolds Pages Carmo, Manfredo do et al. Stability of hypersurfaces with vanishing r-mean curvature in euclidean space Pages Alencar, Hilario et al. A Hopf theorem for open surfaces in product spaces Pages Carmo, Manfredo do et al. Show next xx. Recommended for you. PAGE 1.
MATH 401: Differential Geometry, Fall 2003
The completed exams should be returned at the beginning of class the following Thursday, Oct. Envelopes containing the exam are also outside of HB You should work on the exam for 2 continuous hours. You may use books, notes, etc. The completed exams should be returned to my office HB or the Math.
Differential Geometry of Curves and Surfaces : Second Edition