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HELICOIDAL SURFACES WITH PRESCRIBED CURVATURES IN Nil(3)
- Yoon, Dae Won;
- Kim, Dong-Soo;
- Kim, Young Ho;
- Lee, Jae Won
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8초록
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.
키워드
Heisenberg group; helicoidal surfaces; mean curvature; Gaussian curvature; INVARIANT SURFACES
- 제목
- HELICOIDAL SURFACES WITH PRESCRIBED CURVATURES IN Nil(3)
- 저자
- Yoon, Dae Won; Kim, Dong-Soo; Kim, Young Ho; Lee, Jae Won
- 발행일
- 2013-12
- 유형
- Article
- 권
- 24
- 호
- 14