Vector fields in g[1](M) and axiom A g[1](M)のベクトル場と公理A
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Bibliographic Information
- Title
-
Vector fields in g[1](M) and axiom A
- Other Title
-
g[1](M)のベクトル場と公理A
- Author
-
豊柴, 博義
- Author(Another name)
-
トヨシバ, ヒロヨシ
- University
-
早稲田大学
- Types of degree
-
博士 (理学)
- Grant ID
-
乙第1532号
- Degree year
-
2000-03-02
Note and Description
博士論文
制度:新 ; 文部省報告番号:乙1532号 ; 学位の種類:博士(理学) ; 授与年月日:2000-03-02 ; 早大学位記番号:新2995 ; 理工学図書館請求番号:2493
Table of Contents
- Contents / p1 (0003.jp2)
- 0 Introduction / p2 (0004.jp2)
- 1 Note on vector fields without singularity in G¹(M) / p4 (0006.jp2)
- 2 A property of vector fields without singularity in G¹(M) / p8 (0010.jp2)
- 2.1 Introduction / p8 (0010.jp2)
- 2.2 Proof of Theorem 2.1.1 / p9 (0011.jp2)
- 2.3 Proof of Theorem 2.1.2 / p22 (0024.jp2)
- 2.4 Proof of the Ω-Stability Conjecture for flows / p24 (0026.jp2)
- 3 Vector fields in the interior of Kupka-Smale systems satisfy Axiom A / p26 (0028.jp2)
- 3.1 Introduction / p26 (0028.jp2)
- 3.2 Property of x in Σ(X) / p27 (0029.jp2)
- 3.3 Hyperbolicity of P(X) / p38 (0040.jp2)
- 3.4 Ω(X)=P(X) / p41 (0043.jp2)
- 4 Nonsingular vector fields in G¹(M³) satisfy Axiom A and no cycle:a new proof of Liao's theorem / p48 (0050.jp2)
- 4.1 Introduction / p48 (0050.jp2)
- 4.2 Dominated-Splitting / p50 (0052.jp2)
- 4.3 Hyperbolicity of L-(X)' / p57 (0059.jp2)
- 4.4 Proof of Theorem 4.1.1 / p61 (0063.jp2)
- References / p64 (0066.jp2)
- List of papers by Hiroyoshi Toyoshiba / p65 (0067.jp2)