open access

https://hdl.handle.net/2115/59114

Lightlike flat geometry of spacelike submanifolds in Lorentz-Minkowski space

英語

Lagrangian/Legendrian singularities

2014-05

World Scientific Publishing

International Journal of Geometric Methods In Modern Physics

11(5)

1450049

In this paper, we investigate differential geometry on spacelike submanifolds in Lorentz-Minkowski space from the viewpoint of contact with lightlike hyperplanes. It is called the lightlike flat geometry which has been well established for the codimension-two case. In order to develop the theory for the general codimension-case, we introduce the notion of codimension-two spacelike canal submanifolds which is a main tool in this paper. We apply the theory of Lagrangian/Legendrian singularities to codimension-two spacelike canal submanifolds and obtain the relation with the previous results on the codimension-two case.

学術雑誌論文

Accepted Manuscript

Electronic version of an article published as [International journal of geometric methods in modern physics, 11, 5, 2015, 1450049 [35 pages]] © [copyright World Scientific Publishing Company]

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