Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6421842 | Applied Mathematics and Computation | 2013 | 11 Pages |
Abstract
In Minkowski 3-space, a helicoidal surface is a generalization of rotation surface, which is somewhat similar except the translation part. Therefore, a natural question arises whether an isometry between these surfaces exists. It is proved that, in Minkowski 3-space, a minimal helicoidal surface with Gauss curvature K has an isometric minimal rotation surface if and only if K⩽0. Especially, we show that a timelike right helicoid does not have an isometric minimal rotation surface.
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Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Fenghui Ji, Young Ho Kim,