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Masaaki Umehara （TIT） |
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| Title : Zero mean curvature surfaces in Lorentz-Minkowski
3-space which change type across a light-like line |
Abstract
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It is well-known that space-like maximal surfaces
and time-like minimal surfaces in Lorentz-Minkowski 3-space
R^3_1 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 the light-like line. As a corollary,
we also obtain a family of zero mean curvature hypersurfaces
in R^{n+1}_1 that change type across an (n-1)-dimensional
light-like plane. This is a joint work with S. Fujimori,
Y.-W. Kim, S.-E. Koh, W. Rossman, H. Shin, K, Yamada
and S.-D. Yang.
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Organizer: Reiko Miyaoka
Contact：
Grants-in-Aids for Scientific research：23340012 |
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