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ROTATION SURFACES WITH 1-TYPE GAUSS MAP

  • NIANG, ATHOUMANE (Recherches en Mathematiquss Laboratoires G.T.A, Universite Montpellier)
  • Published : 2005.02.01

Abstract

In this paper, we study rotation surfaces in a Euclidean space with pointwise 1-type Gauss map and obtain by the use of the concept of pointwise finite type Gauss map, a characterization theorem for rotation surfaces of constant mean curvature.

Keywords

References

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  3. 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
  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
  5. SURFACES OF REVOLUTION SATISFYING ΔIIG = f(G + C) vol.50, pp.4, 2013, https://doi.org/10.4134/BKMS.2013.50.4.1061