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HELICOIDAL KILLING FIELDS, HELICOIDS AND RULED MINIMAL SURFACES IN HOMOGENEOUS THREE-MANIFOLDS
- Kim, Young Wook;
- Koh, Sung-Eun;
- Lee, Hyung Yong;
- Shin, Heayong;
- Yang, Seong-Deog
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0초록
We provide definitions for the helicoidal Killing field and the helicoid in arbitrary three-manifolds, and investigate helicoids and ruled minimal surfaces in homogeneous three-manifolds, mainly in SL2R and Sol(3). In so doing we finish our classification of ruled minimal surfaces in homogeneous three-manifolds with the isometry group of dimension 4.
키워드
ruled minimal surfaces; special linear group; Killing fields; helicoids; H-2 X R
- 제목
- HELICOIDAL KILLING FIELDS, HELICOIDS AND RULED MINIMAL SURFACES IN HOMOGENEOUS THREE-MANIFOLDS
- 저자
- Kim, Young Wook; Koh, Sung-Eun; Lee, Hyung Yong; Shin, Heayong; Yang, Seong-Deog
- 발행일
- 2018
- 유형
- Article
- 저널명
- 대한수학회지
- 권
- 55
- 호
- 5
- 페이지
- 1235 ~ 1255