ZERO MEAN CURVATURE SURFACES IN LORENTZ-MINKOWSKI 3-SPACE WHICH CHANGE TYPE ACROSS A LIGHT-LIKE LINEopen access
- Authors
- Fujimori, Shoichi; Kim, Young Wook; Koh, Sung-Eun; Rossman, Wayne; Shin, Heayong; Umehara, Massaaki; Yamada, Kotaro; Yang, Seong-Deog
- Issue Date
- Jan-2015
- Publisher
- OSAKA JOURNAL OF MATHEMATICS
- Citation
- OSAKA JOURNAL OF MATHEMATICS, v.52, no.1, pp 285 - 297
- Pages
- 13
- Journal Title
- OSAKA JOURNAL OF MATHEMATICS
- Volume
- 52
- Number
- 1
- Start Page
- 285
- End Page
- 297
- URI
- https://scholarworks.bwise.kr/cau/handle/2019.sw.cau/10057
- ISSN
- 0030-6126
- Abstract
- It is well-known that space-like maximal surfaces and time-like minimal surfaces in Lorentz-Minkowski 3-space R-1(3) have singularities in general. They are both characterized as zero mean curvature surfaces. We are interested in the case where the singular set consists of a light-like line, since this case has not been analyzed before. As a continuation of a previous work by the authors, we give the first example of a family of such surfaces which change type across a light-like line. As a corollary, we also obtain a family of zero mean curvature hypersurfaces in R-1(n+1) that change type across an (n-1)-dimensional light-like plane.
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Collections - College of Natural Sciences > Department of Mathematics > 1. Journal Articles
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