Rotational Weingarten surfaces in hyperbolic 3-space
Citation
Dursun, U. (2020). Rotational Weingarten surfaces in hyperbolic 3-space. Journal of Geometry, 111(1), 1-12. doi:10.1007/s00022-019-0519-6Abstract
We study rotational Weingarten surfaces in the hyperbolic space H3(- 1) with the principal curvatures κ and λ satisfying a certain functional relation κ= F(λ) for a given continuous function F. We determine profile curves of such surfaces parameterized in terms of the principal curvature λ. Then we consider some special cases by taking F(λ) = aλ+ b and F(λ) = aλm for particular values of the constants a, b, and m.
Source
Journal of GeometryVolume
111Issue
1Collections
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