논문KCI 등재
Some translation surfaces in the 3-dimensional Heisenberg group
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In this paper, we define translation surfaces in the 3-dimen- sional Heisenberg group H3 obtained as a product of two planar curves lying in planes, which are not orthogonal, and study minimal translation surfaces in H3.
Abstract
In this paper, we define translation surfaces in the 3-dimen- sional Heisenberg group H3 obtained as a product of two planar curves lying in planes, which are not orthogonal, and study minimal translation surfaces in H3.
참고문헌 (8)
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- J. Inoguchi, "Minimal translation surfaces in the Heisen- berg group Nil3", Geom. Dedicata, 161, pp.221~231 (2012)
- O. Kobayashi, "Maximal surfaces in the 3-dimensional Minkowski space L3", Tokyo J. Math, 6(2), pp.297~309 (1983)
- R. L´opez, "Minimal translation surfaces in hyperbolic space", Beitr. Algebra Geom, 52(1), pp.105~112 (2011)
- R. L´opez, "Minimal translation surfaces in Sol3", J. Math. Soc. Japan, 64(3), pp.985~1003 (2012)
- W. Thurston, "Three Dimensional Geometry and Topology. Vol. 1, Princeton Math. Ser. 35" (1997), Princeton University Press
- I. V. de Woestijne, "Minimal surfaces in the 3-dimensional Minkowski space, Geomety and Topology of submanifolds, II", pp.344~369 (1990), World Scientific
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