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HELICOIDAL SURFACES WITH PRESCRIBED CURVATURES IN Nil(3)
- Authors
- Yoon, Dae Won; Kim, Dong-Soo; Kim, Young Ho; Lee, Jae Won
- Issue Date
- Dec-2013
- Publisher
- WORLD SCIENTIFIC PUBL CO PTE LTD
- Keywords
- Heisenberg group; helicoidal surfaces; mean curvature; Gaussian curvature
- Citation
- INTERNATIONAL JOURNAL OF MATHEMATICS, v.24, no.14
- Indexed
- SCI
SCIE
SCOPUS
- Journal Title
- INTERNATIONAL JOURNAL OF MATHEMATICS
- Volume
- 24
- Number
- 14
- ISSN
- 0129-167X
1793-6519
- Abstract
- In the present paper, we study helicoidal surfaces in the 3-dimensional Heisenberg group Nil(3). Also, we construct helicoidal surfaces in Nil(3) with prescribed Gaussian curvature or mean curvature given by smooth functions. As the results, we classify helicoidal surfaces with constant Gaussian curvature or constant mean curvature.
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