Summary of the Papers in this Volume

  • Manfredo P. do Carmo


My research work has been in the following topics of Differential Geometry: (A) Relations between topology and curvature of Riemannian manifolds. (B) Convexity and rigidity of isometric immersions. (C) Minimal Submanifolds, in particular, minimal surfaces. (D) Conformal immersions. (E) Hypersurfaces of constant mean curvature and constant r-mean curvatures. (F) Hopf-type theorems. (G) None of the above, but in this volume.


Riemannian Manifold Sectional Curvature Fundamental Form Hyperbolic Space Ahlerian Manifold 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  • Manfredo P. do Carmo
    • 1
  1. 1.Instituto de Matemática Pura e Aplicada (IMPA)Rio de JaneiroBrazil

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