<Master Thesis>
Geometric properties of singular points on extended spacelike CMC surfaces in L^3
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Abstract | 拡張空間的平均曲率一定曲面上の第1種非退化特異点と呼ばれる特異点における特異曲率および極限法曲率のふるまいについて得られた結果を紹介する。 We introduce the behavior of the singular curvature and the limiting normal curvature at singular points of the first kind for exte...nded spacelike CMC surfaces.show more |
Table of Contents | 1 Introduction 2 Singular curvature and limiting normal curvature for extended spacelikeCMC surfaces 2.1 Lorentz-Minkowski space 2.1.1 Frontals 3 Singular Björling problem 3.1 The loop group formulation 3.2 Generalized spacelike CMC surfaces 3.3 Singular Björling problem 4 Identifying singularity types via the Björling construction 4.1 Criteria for A4-singularities (Cuspidal butterfly) |
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Created Date | 2020.03.13 |
Modified Date | 2021.03.15 |