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HELICOIDS IN S-2 x R AND H-2 x R
- Issue Date
- 10월-2009
- Publisher
- PACIFIC JOURNAL MATHEMATICS
- Keywords
- helicoid; ruled surface; minimal surface; spacelike maximal surface
- Citation
- PACIFIC JOURNAL OF MATHEMATICS, v.242, no.2, pp.281 - 297
- Indexed
- SCIE
SCOPUS
- Journal Title
- PACIFIC JOURNAL OF MATHEMATICS
- Volume
- 242
- Number
- 2
- Start Page
- 281
- End Page
- 297
- ISSN
- 0030-8730
- Abstract
- We provide two characterizations of helicoids in S-2 x R and in H-2 x R. First, we show that any nontrivial ruled minimal surface in S-2 x R and in H-2 x R is a part of a helicoid. Second, we also show that these surfaces can be characterized as the only surface with zero mean curvature with respect to both the Riemannian product metric and the Lorentzian product metric on S-2 x R or H-2 x R.
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Collections - College of Science > Department of Mathematics > 1. Journal Articles
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