Minimal immersions of spheres into spheres

  • Manfredo P. do Carmo
  • Nolan R. Wallach


In this paper we will consider isometric minimal immersions \(\psi:{\text S}^{n}_{k}\rightarrow {\text S}^{l}_{1}\subset {\text R}^{l+1}\) of the n-sphere \({\text S}^{n}_{k}\) with constant sectional curvature K into the unit sphere \({\text S}^{l}_{1}\) of the euclidean space \({\text R}^{l+1}.\)


Riemannian Manifold Convex Body Closed Subgroup Isometric Immersion Minimal Immersion 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  • Manfredo P. do Carmo
    • 1
    • 2
    • 3
  • Nolan R. Wallach
    • 1
    • 2
    • 3
  1. 1.University Of CaliforniaBerkeleyUSA
  2. 2.l.M.P.A.Rio de JaneiroBrasil
  3. 3.Rutgers UniversityNew BrunswickUSA

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