Advertisement

Submanifolds and the second fundamental tensor

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

Keywords

Riemannian Manifold Sectional Curvature Fundamental Form Positive Curvature Local Frame 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  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

Personalised recommendations