On an Enneper–Weierstrass-Type Representation of Constant Gaussian Curvature Surfaces in 3-Dimensional Hyperbolic Space
نویسندگان
چکیده
For all \(k\in ]0,1[\), we construct a canonical bijection between the space of ramified coverings sphere hyperbolic type and complete immersed surfaces in 3-dimensional finite area constant extrinsic curvature equal to k. We show, furthermore, that this restricts homeomorphism over each stratum sphere.
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ژورنال
عنوان ژورنال: Springer proceedings in mathematics & statistics
سال: 2021
ISSN: ['2194-1009', '2194-1017']
DOI: https://doi.org/10.1007/978-3-030-68541-6_14