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RULED MINIMAL SURFACES IN THE THREE-DIMENSIONAL HEISENBERG GROUP
- Issue Date
- 2월-2013
- Publisher
- PACIFIC JOURNAL MATHEMATICS
- Keywords
- Heisenberg group; ruled surface; minimal surface
- Citation
- PACIFIC JOURNAL OF MATHEMATICS, v.261, no.2, pp.477 - 496
- Indexed
- SCIE
SCOPUS
- Journal Title
- PACIFIC JOURNAL OF MATHEMATICS
- Volume
- 261
- Number
- 2
- Start Page
- 477
- End Page
- 496
- ISSN
- 0030-8730
- Abstract
- It is shown that parts of planes, helicoids and hyperbolic paraboloids are the only minimal surfaces ruled by geodesics in the three-dimensional Riemannian Heisenberg group. It is also shown that they are the only surfaces in the three-dimensional Heisenberg group whose mean curvature is zero with respect to both the standard Riemannian metric and the standard Lorentzian metric.
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