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On Helicoidal Surfaces in a Conformally Flat 3-Space
- Authors
- Lee, Chul Woo; Lee, Jae Won; Yoon, Dae Won
- Issue Date
- Aug-2017
- Publisher
- SPRINGER BASEL AG
- Keywords
- Conformally flat 3-space; helicoidal surface; extrinsic curvature; mean curvature
- Citation
- MEDITERRANEAN JOURNAL OF MATHEMATICS, v.14, no.4
- Indexed
- SCIE
SCOPUS
- Journal Title
- MEDITERRANEAN JOURNAL OF MATHEMATICS
- Volume
- 14
- Number
- 4
- ISSN
- 1660-5446
1660-5454
- Abstract
- In this paper, we discuss the problem of finding explicit parametrizations for the helicoidal surfaces in a conformally flat 3-space E-F(3) with prescribed extrinsic curvature or mean curvature given by smooth functions. Also, we give examples for helicoidal surfaces with some extrinsic curvature and mean curvature functions in E-F(3).
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