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Orientable Hypersurfaces of Riemannian Manifolds with Spin(7)-Structure

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References

  1. E. Bonan, Sur les variétés riemaniennes à groupe d'holonomie G 2 ou Spin (7), C. R. Acad. Sci. Paris, 262 (1966), 127–129.

    Google Scholar 

  2. R. B. Brown and A. Gray, Vector cross products, Comment. Math. Helv., 42 (1967), 222–236.

    Google Scholar 

  3. R. L. Bryant, Metrics with exceptional holonomy, Ann. of Math., 126 (1987), 525–576.

    Google Scholar 

  4. F. M. Cabrera, On Riemannian manifolds with G 2-structure, Bolletino U.M.I., (7) 9-A (1995).

  5. F. M. Cabrera, On Riemannian manifolds with Spin (7)-structure, Publ. Math. Debrecen, 46 (1995), 271–283.

    Google Scholar 

  6. F. M. Cabrera, Spin (7)-structures in principal fibre bundles over Riemannian manifolds with G 2-structure, Rend. Circ. Mat. Palermo, II, 44 (1995), 249–272.

    Google Scholar 

  7. L. A. Cordero, M. Fernández and A. Gray, Modelos minimales en geometría diferencial, Proc. Recent Topics on Diff. Geom. Workshop (Ed. D. Chinea and J. M. Sierra), Univ. de La Laguna (Spain) (December 1990), pp. 31–41.

    Google Scholar 

  8. B. Eckmann, Systeme von Richtungsfeldern in Sphären undstetige Lösungen komplexer linearer Gleigchungen, Comment. Math. Helv., 15 (1943), 1–26.

    Google Scholar 

  9. M. Fernández, A classification of Riemanniann manifolds with structure group Spin (7), Ann. Mat. Pura Appl. (IV), 148 (1986), 101–122.

    Google Scholar 

  10. M. Fernández and A. Gray, Riemannian manifolds with structure group G 2, Ann. Mat. Pura Appl. (IV), 32 (1982), 19–45.

    Google Scholar 

  11. A. Gray, Vector cross products on manifolds, Trans. Amer. Soc., 141 (1969), 463–504. Correction, 148 (1970), 625.

    Google Scholar 

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  1. Departamento de Matemática Fundamental, Universidad de la Laguna Tenerife, Canary Islands, Spain

    F. Martín-Cabrera

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  1. F. Martín-Cabrera
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Martín-Cabrera, F. Orientable Hypersurfaces of Riemannian Manifolds with Spin(7)-Structure. Acta Mathematica Hungarica 76, 235–247 (1997). https://doi.org/10.1023/A:1006573220451

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