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Submanifolds and the second fundamental tensor

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

Keywords

  • Riemannian Manifold
  • Sectional Curvature
  • Fundamental Form
  • Positive Curvature
  • Local Frame

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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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  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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© 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