Hypersurfaces with light-like points in a Lorentzian manifold II
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- Umehara Masaaki
- Department of Mathematical and Computing Sciences Tokyo Institute of Technology
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- Yamada Kotaro
- Department of Mathematics Tokyo Institute of Technology
Abstract
<p>In the authors' previous work, it was shown that if a zero mean curvature C4-differentiable hypersurface in an arbitrarily given Lorentzian manifold admits a degenerate light-like point, then the hypersurface contains a light-like geodesic segment passing through the point. The purpose of this paper is to point out that the same conclusion holds with just C3-differentiability of the hypersurfaces.</p>
Journal
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- Kodai Mathematical Journal
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Kodai Mathematical Journal 44 (1), 69-76, 2021-03-18
Department of Mathematics, Tokyo Institute of Technology
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Details 詳細情報について
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- CRID
- 1390850391142215296
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- NII Article ID
- 130008000449
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- DOI
- 10.2996/kmj44104
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- ISSN
- 18815472
- 03865991
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- Text Lang
- en
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- Data Source
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- JaLC
- Crossref
- CiNii Articles
- KAKEN
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- Abstract License Flag
- Disallowed