Hyperbolic surfaces of $L_1$-2-type
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Abstract:
In this paper, we show that an $L_1$-2-type surface in the three-dimensional hyperbolic space $H^3subset R^4_1$ either is an open piece of a standard Riemannian product $ H^1(-sqrt{1+r^2})times S^{1}(r)$, or it has non constant mean curvature, non constant Gaussian curvature, and non constant principal curvatures.
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Journal title
volume 43 issue 6
pages 1769- 1779
publication date 2017-11-30
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