Statistical structures and geometry of affine immersions 統計構造とアファインはめ込みの幾何

この論文をさがす

著者

    • 松添, 博 マツゾエ, ヒロシ

書誌事項

タイトル

Statistical structures and geometry of affine immersions

タイトル別名

統計構造とアファインはめ込みの幾何

著者名

松添, 博

著者別名

マツゾエ, ヒロシ

学位授与大学

東北大学

取得学位

博士(情報科学)

学位授与番号

甲第7040号

学位授与年月日

1999-03-25

注記・抄録

博士論文

目次

  1. Contents / p1 (0005.jp2)
  2. 1 Introduction and results / p4 (0008.jp2)
  3. 1.1 Statistical manifolds / p5 (0009.jp2)
  4. 1.2 A variety of conformal structures and curvature tensors / p5 (0009.jp2)
  5. 1.3 Semi-Weyl structures / p10 (0014.jp2)
  6. 1.4 Affine immersions / p12 (0016.jp2)
  7. 1.5 Contrast functions / p19 (0023.jp2)
  8. 1.6 Main results / p21 (0025.jp2)
  9. 2 On realization of conformally-projectively flat statistical manifolds and the divergences / p25 (0029.jp2)
  10. Abstract / p27 (0031.jp2)
  11. Introduction / p27 (0031.jp2)
  12. 2.1 Preliminaries / p29 (0033.jp2)
  13. 2.2 Statistical manifolds / p31 (0035.jp2)
  14. 2.3 Proof of main theorem / p34 (0038.jp2)
  15. 2.4 Dual maps / p36 (0040.jp2)
  16. 2.5 Geometric divergences / p38 (0042.jp2)
  17. 3 Holomorphic centroaffine immersions and the Lelieuvre correspondence / p41 (0045.jp2)
  18. Abstract / p43 (0047.jp2)
  19. 3.1 Introduction / p43 (0047.jp2)
  20. 3.2 Preliminaries / p44 (0048.jp2)
  21. 3.3 Fundamental theorem for holomorphic centroaffine immersions / p48 (0052.jp2)
  22. 3.4 The Lelieuvre correspondence / p51 (0055.jp2)
  23. 4 Geometry of contrast functions and conformal geometry / p58 (0062.jp2)
  24. Abstract / p60 (0064.jp2)
  25. Introduction / p60 (0064.jp2)
  26. 4.1 Contrast functions and statistical manifolds / p62 (0066.jp2)
  27. 4.2 Curvature tensors / p63 (0067.jp2)
  28. 4.3 Geometric divergences / p66 (0070.jp2)
  29. 4.4 Projectively flat or dual-projectively flat cases / p72 (0076.jp2)
  30. 4.5 Conformally-projectively flat case / p75 (0079.jp2)
  31. 5 Geometry of semi-Weyl manifolds and Weyl manifolds / p78 (0082.jp2)
  32. Abstract / p79 (0083.jp2)
  33. Introduction / p79 (0083.jp2)
  34. 5.1 Semi-Weyl structures / p80 (0084.jp2)
  35. 5.2 Projective structures and their duality / p82 (0086.jp2)
  36. 5.3 Weyl structures and semi-Weyl structures / p83 (0087.jp2)
  37. 5.4 Weyl structures and affine immersions / p86 (0090.jp2)
  38. Appendix / p89 (0093.jp2)
  39. A Einstein-Weyl structures in affine differential geometry / p89 (0093.jp2)
  40. Abstract / p90 (0094.jp2)
  41. A.1 Introduction / p90 (0094.jp2)
  42. A.2 Preliminaries / p91 (0095.jp2)
  43. A.3 Weyl manifolds and affine immersions / p93 (0097.jp2)
  44. A.4 Einstein-Weyl manifolds and affine immersions / p96 (0100.jp2)
  45. B Open Problems in Affine Differential Geometry and Related Topics / p98 (0102.jp2)
  46. Acknowledgements / p104 (0108.jp2)
  47. Bibliography / p105 (0109.jp2)
2アクセス

各種コード

  • NII論文ID(NAID)
    500000171059
  • NII著者ID(NRID)
    • 8000000171333
  • DOI(NDL)
  • NDL書誌ID
    • 000000335373
  • データ提供元
    • NDL-OPAC
    • NDLデジタルコレクション
ページトップへ