Geometric properties of singular points on extended spacelike CMC surfaces in L^3 - Collections

＜Master Thesis＞
Geometric properties of singular points on extended spacelike CMC surfaces in L^3

	Geometric properties of singular points on extended spacelike CMC surfaces in L^3
Creator	Creator Name 中島, 拓哉 Nakashima, Takuya ナカシマ, タクヤ Affiliation Affiliation Name 九州大学大学院数理学府数理学専攻数理学コース : 修士課程 Department of Mathematics, Graduate School of Mathematics, Kyushu University: Master's Program
Examiner	小磯, 深幸
Language	English
Academic Year Conferred	2019
Conferring University	九州大学
Conferring University	Kyushu University
Degree	MASTER
Degree Type	Master's Degree
Publication Type	Version of Record
Access Rights	open access
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)

File	FileType	Size	Views	Description
2558882	pdf	108 KB	394