Corpus ID: 16100276

Surfaces of constant curvature in 3-dimensional space forms .

  title={Surfaces of constant curvature in 3-dimensional space forms .},
  author={J. A. G{\'a}lvez},
The study of surfaces immersed in a 3-dimensional ambient space plays a central role in the theory of submanifolds. In addition, Riemannian manifolds with constant sectional curvature can be considered as the most simple examples. Thus, one can think of surfaces with constant Gauss curvature in the Euclidean space R, hyperbolic space H or 3-sphere S as very natural objects of study. Through these notes we will study some classical results on complete surfaces with constant Gauss curvature in 3… Expand

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