대한수학회지 (Journal of the Korean Mathematical Society)

  • 제41권6호
  • /
  • Pages.1007-1021
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  • 2004
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  • 0304-9914(pISSN)
  • /
  • 2234-3008(eISSN)
대한수학회 (Korean Mathematical Society)
권호 표지
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ON ROTATION SURFACES IN THE MINKOWSKI 3-DIMENSIONAL SPACE WITH POINTWISE 1-TYPE GAUSS MAP

  • 발행 : 2004.11.01
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초록

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.

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참고문헌

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  6. M. Choi and Y. H. Kim, Characterization of the helicoid as ruled surfaces with pointwise 1-type Gauss map, Bull. Korean Math. Soc. 38 (2001), no. 4, 753–761.
  7. Jun-ichi Hano and K. Nomizu, On Isometric immersions of the hyperbolic plane into the Lorentz-Minkowski space and the Monge-Ampre equation of a certain type, Math. Ann. 262 (1983), 245–253. https://doi.org/10.1007/BF01455315
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  9. A. Niang, Rotation surfaces with pointwise 1-type Gauss map (submitted for publication in 2003).

피인용 문헌

  1. General rotational surfaces with pointwise 1-type Gauss map in pseudo-Euclidean space E 2 4 vol.46, pp.1, 2015, https://doi.org/10.1007/s13226-015-0112-0
  2. BOOST INVARIANT SURFACES WITH POINTWISE 1-TYPE GAUSS MAP IN MINKOWSKI 4-SPACE E41 vol.51, pp.6, 2014, https://doi.org/10.4134/BKMS.2014.51.6.1863
  3. SURFACES OF REVOLUTION SATISFYING ΔIIG = f(G + C) vol.50, pp.4, 2013, https://doi.org/10.4134/BKMS.2013.50.4.1061
  4. Helicoidal surfaces satisfying $${\Delta ^{II}\mathbf{G}=f(\mathbf{G}+C)}$$ Δ II G = f ( G + C ) vol.107, pp.3, 2016, https://doi.org/10.1007/s00022-015-0284-0