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Submanifolds and the second fundamental tensor

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Global Differential Geometry and Global Analysis 1984

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1156))

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References

  1. Spivak, M.: A Comprehensive Introduction to Differential Geometry. Vol. four. Berkeley: Publish or Perish (1979; Zbl. 439.53004).

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  2. Chen, B. Y.: Geometry of Submanifolds. New York: Marcel Dekker. (1973; Zbl. 262.53036).

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  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).

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  4. Chern, S. S.: Differential Geometry; its past and its future. Actes, Congres intern. math., Tome 1, 41–53. (1970; Zbl. 232.53001).

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  5. Cheeger, J.; Gromoll, D.: The structure of complete manifolds of nonnegative curvature. Bull. Amer. Math. Soc. 74, 1147–1150. (1968; Zbl. 169.241).

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  6. Gromoll, D.; Meyer, W.: On complete open manifolds of positive curvature. Annals of Math., II. Ser. 90, 75–90. (1969; Zbl. 191.199).

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Author information

Authors and Affiliations

  1. Faculty of Mathematics, Sofia University, 1126, Sofia, Bulgaria

    Stefana Hineva

Authors
  1. Stefana Hineva
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Dirk Ferus Robert B. Gardner Sigurdur Helgason Udo Simon

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© 1985 Springer-Verlag

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Hineva, S. (1985). Submanifolds and the second fundamental tensor. In: Ferus, D., Gardner, R.B., Helgason, S., Simon, U. (eds) Global Differential Geometry and Global Analysis 1984. Lecture Notes in Mathematics, vol 1156. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0075091

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  • DOI: https://doi.org/10.1007/BFb0075091

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-15994-0

  • Online ISBN: 978-3-540-39698-7

  • eBook Packages: Springer Book Archive

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