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HELICOIDAL KILLING FIELDS, HELICOIDS AND RULED MINIMAL SURFACES IN HOMOGENEOUS THREE-MANIFOLDS
- Issue Date
- 2018
- Publisher
- KOREAN MATHEMATICAL SOC
- Keywords
- ruled minimal surfaces; special linear group; Killing fields; helicoids
- Citation
- JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, v.55, no.5, pp.1235 - 1255
- Indexed
- SCIE
SCOPUS
KCI
- Journal Title
- JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY
- Volume
- 55
- Number
- 5
- Start Page
- 1235
- End Page
- 1255
- ISSN
- 0304-9914
- Abstract
- 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.
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