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