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On Submanifolds with parallel higher order fundamental form in euclidean spaces

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Part of the Lecture Notes in Mathematics book series (LNM,volume 1481)

Keywords

  • Fundamental Form
  • Orthogonal Transformation
  • Parallel Section
  • Normal Vector Field
  • Spherical Curvature

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References

  1. Dillen, F.: The classification of hypersurfaces of a Euclidean space with parallel higher order fundamental form. Math. Z. 203 (1990), 635–643.

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  3. Kobayashi, S., Nomizu, K.: Foundations of differential geometry, Vol. I. New York-London: Intersc. Publ., 1963.

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  4. Lumiste, Ü.: Small-dimensional irreducible submanifolds with parallel third fundamental form. Tartu Ülikooli Toimetised. Acta et comm. Univ. Tartuensis, No. 734 (1986), 50–62 (Russian).

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  6. Lumiste, Ü.: Threedimensional submanifolds with parallel third fundamental form in Euclidean spaces. Tartu Ülikooli Toimetised. Acta et comm. Univ. Tartuensis, No. 889 (1990), 45–56.

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  7. Lumiste, Ü., Mirzoyan, V.: Submanifolds with parallel third fundamental form. Tartu Ülikooli Toimetised. Acta et comm. Univ. Tartuensis, No. 665 (1984), 42–54 (Russian).

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  8. Mirzoyan, V.: Submanifolds with parallel higher order fundamental form. Preprint. Tartu, 1978 (Sov. Math. Rev., 1978, 10A542 Dep.; Russian).

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© 1991 Springer-Verlag

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Lumiste, Ü. (1991). On Submanifolds with parallel higher order fundamental form in euclidean spaces. In: Ferus, D., Pinkall, U., Simon, U., Wegner, B. (eds) Global Differential Geometry and Global Analysis. Lecture Notes in Mathematics, vol 1481. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0083636

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  • DOI: https://doi.org/10.1007/BFb0083636

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-54728-0

  • Online ISBN: 978-3-540-46445-7

  • eBook Packages: Springer Book Archive