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Constructions of helicoidal surfaces by using curvature functions in isotropic spaceopen access
- Authors
- Yoon, Dae Won; Lee, Jae Won; Lee, Chul Woo
- Issue Date
- 2019
- Publisher
- HACETTEPE UNIV, FAC SCI
- Keywords
- Isotropic space; helicoidal surface; mean curvature; Gaussian curvature
- Citation
- HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, v.48, no.4, pp 959 - 965
- Pages
- 7
- Indexed
- SCIE
SCOPUS
- Journal Title
- HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS
- Volume
- 48
- Number
- 4
- Start Page
- 959
- End Page
- 965
- ISSN
- 1303-5010
2651-477X
- Abstract
- In the present paper, we study helicoidal surfaces in the three dimensional isotropic space I-3 and construct helicoidal surfaces with prescribed Gaussian curvature or mean curvature given by smooth functions. Moreover, we give some examples of helicoidal surfaces with non-constant Gaussian curvature or mean curvature.
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