Archiv der Mathematik

, Volume 20, Issue 2, pp 173–175 | Cite as

Isometric immersions with semi-definite second quadratic forms

  • Manfredo P. doCarmo
  • Elon Lima
Article

Keywords

Quadratic Form Isometric Immersion 

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References

  1. [1]
    S. S. Chern andR. K. Lashof, On the total curvature of immersed manifolds. Amer. J Math.79, 306–318 (1957).Google Scholar
  2. [2]
    S. S. Chern andR. K. Lashof, On the total curvature of immersed manifolds II. Michigan Math. J.5, 5–12 (1958).Google Scholar
  3. [3]
    S. van Heijenoort, On locally convex manifolds. Comm. Pure Appl. Math.5, 223–242 (1952).Google Scholar
  4. [4]
    R. Sacksteder, On hypersurfaces with non-negative sectional curvatures. Amer. J. Math.82, 609–630 (1960).Google Scholar

Copyright information

© Birkhäuser-Verlag 1969

Authors and Affiliations

  • Manfredo P. doCarmo
    • 1
  • Elon Lima
    • 2
  1. 1.Department of MathematicsUniversity of CaliforniaBerkeleyUSA
  2. 2.Instituto de Matematica Pura e AplicadaRio de JaneiroBrazil

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