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On some stable minimal cones in ℝ7

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Part of the Lecture Notes in Mathematics book series (LNM,volume 1090)

Keywords

  • Dynkin Diagram
  • Minimal Submanifold
  • Real Submanifold
  • Great Sphere
  • Cayley Algebra

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References

  1. Dynkin, E.B., Semi-simple subalgebras of semi-simple Lie algebras, Amer. Math. Soc. Transl., Ser. 2, 6 (1957), 111–244.

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  2. Ejiri, N., Totally real submanifold in the 6-sphere, Proc. Amer. Math. Soc., 83 (1981), 759–763.

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  3. Fredenthal, H., Oktaven, Ausnahmegruppen und Oktavengeometrie, Mimeographed Note, Utrecht, 1951.

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  4. Harvey, R. and Lawson, H.B., A constellation of minimal varieties defined over the group G2, Lecture Notes in Pure and Applied Math., Vol. 48, Marcel Dekker, N.Y., 1978, 1–38.

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  5. Mal’cev, A.I., On semi-simple subgroups of Lie groups, Amer. Math. Soc. Transl., Ser. 1, 9 (1950), 172–213.

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© 1984 Springer-Verlag

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Mashimo, K. (1984). On some stable minimal cones in ℝ7 . In: Kenmotsu, K. (eds) Differential Geometry of Submanifolds. Lecture Notes in Mathematics, vol 1090. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0101571

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  • DOI: https://doi.org/10.1007/BFb0101571

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-13873-0

  • Online ISBN: 978-3-540-39065-7

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