The classification problems of finite type and biharmonic submanifolds 有限型部分多様体および二重調和部分多様体の分類問題

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著者

    • 石川, 晋 イシカワ, ススム

書誌事項

タイトル

The classification problems of finite type and biharmonic submanifolds

タイトル別名

有限型部分多様体および二重調和部分多様体の分類問題

著者名

石川, 晋

著者別名

イシカワ, ススム

学位授与大学

九州大学

取得学位

理学博士

学位授与番号

乙第5242号

学位授与年月日

1992-09-25

注記・抄録

博士論文

目次

  1. Contents / p1 (0004.jp2)
  2. Preface / p3 (0006.jp2)
  3. Chapter I.Introduction / p5 (0008.jp2)
  4. §1.1.Chen's Conjecture Concerning Biharmonic Submanifolds / p5 (0008.jp2)
  5. §1.2.Chen's Conjecture Concerning Finite Type Surfaces in E³ / p7 (0010.jp2)
  6. §1.3.Finite type Closed Curves on Hyperbolic spaces / p9 (0012.jp2)
  7. Chapter II.General Notation / p11 (0014.jp2)
  8. §2.1.Pseudo-Riemannian Manifolds / p11 (0014.jp2)
  9. §2.2.Finite Type Submanifolds in Euclidean and Pseudo-Euclidean Spaces / p16 (0019.jp2)
  10. Chapter III.Finite Type Curves / p20 (0023.jp2)
  11. §3.1.Results on Finite Type Closed Curves in[数式],[数式]and[数式] / p20 (0023.jp2)
  12. §3.2.The Classification Problem of Finite Type Closed Curves on[数式](-c²) / p23 (0026.jp2)
  13. §3.3.Proofs of Theorems 3.5,3.6,3.7,3.8 and 3.9 / p24 (0027.jp2)
  14. Chapter IV.The Finite Type Surfaces of Revolution in E³ / p33 (0036.jp2)
  15. §4.1.The Classification Problem of Finite Type Surfaces in E³ / p33 (0036.jp2)
  16. §4.2.The Classification of Surfaces of Revolution I / p34 (0037.jp2)
  17. §4.3.The Classification of Surfaces of Revolution II / p42 (0045.jp2)
  18. Chapter V.Topics Related to Finite Type Submanifolds Theory / p47 (0050.jp2)
  19. §5.1.Examples of Finite Type Surfaces / p47 (0050.jp2)
  20. §5.2.Related Topics / p50 (0053.jp2)
  21. Chapter VI.Biharmonic Submanifolds / p54 (0057.jp2)
  22. §6.1.General Results on Biharmonic Submanifolds / p54 (0057.jp2)
  23. §6.2.The classification Problem of all Biharmonic Curves in[数式] / p56 (0059.jp2)
  24. §6.3.The Non-Existence Theorems of Non-Harmonic Biharmonic Surfaces in[数式] / p59 (0062.jp2)
  25. Chapter VII.Biharmonic Surfaces in[数式] / p62 (0065.jp2)
  26. §7.1.Fundamental Formulae on Biharmonic Surfaces in[数式] / p62 (0065.jp2)
  27. §7.2.Biharmonic Surfaces with Nonzero Constant Mean Curvature vector Fields in[数式] / p63 (0066.jp2)
  28. §7.3.Biharmonic Surfaces with Light-like Mean Curvature Vector Fields in[数式] / p71 (0074.jp2)
  29. §7.4.Biharmonic W-Surfaces in[数式] / p77 (0080.jp2)
  30. References / p88 (0091.jp2)
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各種コード

  • NII論文ID(NAID)
    500000091014
  • NII著者ID(NRID)
    • 8000000091236
  • DOI(NDL)
  • NDL書誌ID
    • 000000255328
  • データ提供元
    • NDL-OPAC
    • NDLデジタルコレクション
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