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Ribaucour transformation for flat $m$-submanifolds in $\Bbb{H}^{m+n}$

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Abstract

By using $O(m+n,1)/O(m)\times O(n,1)$-system, we give an analytic version of Ribaucour transformation for flat $m$-dimen\-sio\-nal submanifolds in $\mathbb{H}^{m+n}$ with flat, non-degenerate normal bundle and free of weak umbilics, where $n\geq m-1$.

참고문헌 (14)

  1. "The submanifoldgeometries associated to Grassmannian system", pp.735~ (2002)
  2. "Sur les varietes de courbure constantedun espace Euclidean ou non-Euclidean", pp.125 132~
  3. "Isometric immersions and the generalized Laplace and elliptic sinh-Gordon equations", pp.109~147 (1995)
  4. "An extension of the classical Ribaucourtransformation", pp.211~232 (2002)
  5. "\it Isometric immersions of space forms in spaceforms}", pp.157~ (1972)
  6. "\itSubmanifold of constant positive curvature I}", pp.449~ (1977)
  7. "Riemannian submanifolds in Lorentzian manifolds with the same constantcurvatures", (2), pp.237~249 (2002)
  8. "Isometric immersions of manifolds into space forms with the same constantcurvatures", (1), pp.57~69 (2002)
  9. "Lorentzian submanifolds in Lorentzian space form withthe same constant curvatures", pp.93~104 (2004)
  10. "A non-immersion theorem for spaceforms", pp.672~674 (1988)
  11. "Soliton equations and differential geometry", pp.407~455 (1997)
  12. "acklund's theorem for n-dimensionalsubmanifolds in $R^ Ann. of Math.", pp.477~ (1980)
  13. "acklund theoremsfor submanifolds of space forms and a generalized wave equation", pp.67~92 (1985)
  14. "system IIand diagonalizable time-like immersions in", pp.319~329 (2004)

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