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On rotation surfaces in the Minkowski $3-$dimensional space with pointwise $1$-type gauss map

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Abstract

In this paper, we study rotation surfaces in the Minkowski 3−dimensional space with pointwise 1-type Gauss map and obtain by the use of the concept of pointwise finite type Gauss map, a characterization theorem concerning rotation surfaces and constancy of the mean curvature of certain open subsets on these surfaces.

참고문헌 (9)

  1. "On the Gauss map ofB-scrols", 22, pp.317~377 (1998)
  2. "submanifolds of nite type", 9, pp.6581~ (1987)
  3. "Total mean curvature and submanifolds of nite type" (1984)
  4. "Submanifolds with nite type Gauss map", 35 (1987)
  5. "On the Gauss map of ruled surfaces in a thre-dimensional Minkowskispace", 19, pp.285~304 (1995)
  6. M. Choi, "Characterization of the helicoid as ruled surfaces withpointwise 1-type Gauss map", 38(4), pp.753~761 (2001)
  7. Jun-ichi Hano, "On Isometric immersions of the hyperbolic plane into the Lorentz-Minkowski space and the Monge-Amp`re equation of a certain type", 262 (1983)
  8. Y. H. Kim, "Ruled surfaces with pointwise 1-type Gauss map", 34, pp.191~205 (2000)
  9. A. Niang, "Rotation surfaces with pointwise 1-type Gauss map"

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