TRANSNORMAL SYSTEMS ON $R_{1}^{n+1}$

  • Kwang Sung Park (Department of Mathematics, Keimyung University, Taegu 704-701, Korea) ;
  • Koon Chan Kim (Department of Mathematics, Keimyung University, Taegu 704-701, Korea) ;
  • Young Soo Jo (Department of Mathematics, Keimyung University, Taegu 704-701, Korea)
  • Published : 1997.01.01

Abstract

In this paper, we study on a classification of hypersurfaces given by tansnormal functions on $R^{n+1}_1$. If M is a level set of a transnormal function on $R^{n+1}_1$, then it is one of a hyperplane, a cylinder around k-plane, a pseudo-sphere and a pseudo-hyperbolic space.

Keywords

References

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