Surfaces with maximal curvature of the Grassmann image

  • A. A. Borisenko
  • Yu. A. Nikolaevskii


Maximal Curvature Grassmann Image 
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Literature cited

  1. 1.
    A. A. Borisenko and Yu. A. Nikolaevskii, “Grassmann image of three-dimensional surfaces,” in: National Conference on Geometry “in the Large.” Abstracts of Reports, Novosibirsk, September 28–30, 1987, Novosibirsk (1987).Google Scholar
  2. 2.
    Yu. A. Aminov, “Grassmann image of a two-dimensional surface in four-dimensional Euclidean space,” Ukr. Geom. Sborn.,23, 3–16 (1980).Google Scholar
  3. 3.
    Y. Muto, “The Gauss map of a submanifold in a Euclidean space,” J. Math. Soc. Jpn.,30, 85–100 (1978).Google Scholar
  4. 4.
    Y. C. Wong, “Sectional curvatures of Grassmann manifolds,” Proc. Nat. Acad. Sci. USA,60, No. 1, 75–79 (1968).Google Scholar
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    F. R. Gantmakher, Theory of Matrices [in Russian], Nauka, Moscow (1967).Google Scholar
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    K. Kommerell, “Riemannsche Flächen im ebenen Raum von vier Dimensionen,” Math. Ann.,60, 546–596 (1905).Google Scholar

Copyright information

© Plenum Publishing Corporation 1991

Authors and Affiliations

  • A. A. Borisenko
    • 1
  • Yu. A. Nikolaevskii
    • 1
  1. 1.A. M. Gor'kii Khar'kov State UniversityUSSR

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