Submanifolds and the second fundamental tensor

  • Stefana Hineva
Conference paper
Part of the Lecture Notes in Mathematics book series (LNM, volume 1156)


Riemannian Manifold Sectional Curvature Fundamental Form Positive Curvature Local Frame 
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  1. 1.
    Spivak, M.: A Comprehensive Introduction to Differential Geometry. Vol. four. Berkeley: Publish or Perish (1979; Zbl. 439.53004).zbMATHGoogle Scholar
  2. 2.
    Chen, B. Y.: Geometry of Submanifolds. New York: Marcel Dekker. (1973; Zbl. 262.53036).zbMATHGoogle Scholar
  3. 3.
    Okumura, M.: A pinching problem on the second fundamental tensors and submanifolds of a sphere. Tohoku Math. J. 25, 461–467. (1973; Zbl. 284.53039).MathSciNetCrossRefzbMATHGoogle Scholar
  4. 4.
    Chern, S. S.: Differential Geometry; its past and its future. Actes, Congres intern. math., Tome 1, 41–53. (1970; Zbl. 232.53001).Google Scholar
  5. 5.
    Cheeger, J.; Gromoll, D.: The structure of complete manifolds of nonnegative curvature. Bull. Amer. Math. Soc. 74, 1147–1150. (1968; Zbl. 169.241).MathSciNetCrossRefzbMATHGoogle Scholar
  6. 6.
    Gromoll, D.; Meyer, W.: On complete open manifolds of positive curvature. Annals of Math., II. Ser. 90, 75–90. (1969; Zbl. 191.199).MathSciNetCrossRefzbMATHGoogle Scholar

Copyright information

© Springer-Verlag 1985

Authors and Affiliations

  • Stefana Hineva
    • 1
  1. 1.Faculty of MathematicsSofia UniversitySofiaBulgaria

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