대한수학회지 (Journal of the Korean Mathematical Society)

  • 제34권2호
  • /
  • Pages.437-452
  • /
  • 1997
  • /
  • 0304-9914(pISSN)
  • /
  • 2234-3008(eISSN)
대한수학회 (Korean Mathematical Society)
권호 표지

LOW TYPE PSEUDO-RIEMANNIAN SUBMANIFOLDS

  • Kim, Young-Ho (Department of Mathematics Teachers College Kyungpook National University )
  • 발행 : 1997.05.01
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초록

We study low type submanifolds in pseudo-Euclidean space which is especially of 2-type pseudo-umbilical. We also determine full null 2-type surfaces with parallel mean curvature vector in 4-dimensional Minkowski space-time.

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참고문헌

  1. Total mean curvature and submanifolds of finite type Chen, B.­Y.
  2. Kodai Math. J. v.8 Finite-type submanifolds in pseudo-Euclidean spaces and applications Chen, B.­Y.
  3. Tamkang J. Math. v.17 Finite type pseudo-Riemannian submanifolds Chen, B.­Y.
  4. Algebras, Groups and Geom. v.6 Null 2-type surfaces inMinkowski space-time Chen, B. ­Y.;Song, H.
  5. Pacific J. Math. v.152 On Surfaces in the 3-dimensional Lorentz-Minkowski space Ferrandez, A.;Lucas, P.
  6. Trans. Amer. Math. Soc. v.252 Codimension one isemetric immersions beween Lorentz spaces Graves, L. K.
  7. Bull. Soc. Math.Belg-Tijdschr. Belg. Gen. v.43 2-type pseudo-umbilical submanifolds Li, S.­J.
  8. Math. J. Toyama Univ. v.7 Null 2-ype surfaces in $E^m$ with parallel normalized mean curvature vector Li, S.­J.
  9. Pacific J. Math. v.118 Lorentzian isoparametric hypersurfaces Magid, M.