Submanifolds and Holonomy, 2nd Edition

Submanifolds and Holonomy, 2nd Edition

by Jurgen Berndt, Sergio Console, Carlos Enrique Olmos
Released February 2016
Publisher(s): Chapman and Hall/CRC
ISBN: 9781482245165

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Book description

Submanifolds and Holonomy, Second Edition explores recent progress in the submanifold geometry of space forms, including new methods based on the holonomy of the normal connection. This second edition reflects many developments that have occurred since the publication of its popular predecessor.New to the Second EditionNew chapter on normal holonom

Table of contents

  1. Front Cover (1/2)
  2. Front Cover (2/2)
  3. Dedication
  4. Contents (1/2)
  5. Contents (2/2)
  6. List of Figures
  7. List of Tables
  8. Preface to the First Edition
  9. Preface to the Second Edition
  10. Sergio Console (1965–2013)
  11. Introduction (1/2)
  12. Introduction (2/2)
  13. Chapter 1: Basics of Submanifold Theory in Space Forms (1/6)
  14. Chapter 1: Basics of Submanifold Theory in Space Forms (2/6)
  15. Chapter 1: Basics of Submanifold Theory in Space Forms (3/6)
  16. Chapter 1: Basics of Submanifold Theory in Space Forms (4/6)
  17. Chapter 1: Basics of Submanifold Theory in Space Forms (5/6)
  18. Chapter 1: Basics of Submanifold Theory in Space Forms (6/6)
  19. Chapter 2: Submanifold Geometry of Orbits (1/14)
  20. Chapter 2: Submanifold Geometry of Orbits (2/14)
  21. Chapter 2: Submanifold Geometry of Orbits (3/14)
  22. Chapter 2: Submanifold Geometry of Orbits (4/14)
  23. Chapter 2: Submanifold Geometry of Orbits (5/14)
  24. Chapter 2: Submanifold Geometry of Orbits (6/14)
  25. Chapter 2: Submanifold Geometry of Orbits (7/14)
  26. Chapter 2: Submanifold Geometry of Orbits (8/14)
  27. Chapter 2: Submanifold Geometry of Orbits (9/14)
  28. Chapter 2: Submanifold Geometry of Orbits (10/14)
  29. Chapter 2: Submanifold Geometry of Orbits (11/14)
  30. Chapter 2: Submanifold Geometry of Orbits (12/14)
  31. Chapter 2: Submanifold Geometry of Orbits (13/14)
  32. Chapter 2: Submanifold Geometry of Orbits (14/14)
  33. Chapter 3: The Normal Holonomy Theorem (1/9)
  34. Chapter 3: The Normal Holonomy Theorem (2/9)
  35. Chapter 3: The Normal Holonomy Theorem (3/9)
  36. Chapter 3: The Normal Holonomy Theorem (4/9)
  37. Chapter 3: The Normal Holonomy Theorem (5/9)
  38. Chapter 3: The Normal Holonomy Theorem (6/9)
  39. Chapter 3: The Normal Holonomy Theorem (7/9)
  40. Chapter 3: The Normal Holonomy Theorem (8/9)
  41. Chapter 3: The Normal Holonomy Theorem (9/9)
  42. Chapter 4: Isoparametric Submanifolds and Their Focal Manifolds (1/8)
  43. Chapter 4: Isoparametric Submanifolds and Their Focal Manifolds (2/8)
  44. Chapter 4: Isoparametric Submanifolds and Their Focal Manifolds (3/8)
  45. Chapter 4: Isoparametric Submanifolds and Their Focal Manifolds (4/8)
  46. Chapter 4: Isoparametric Submanifolds and Their Focal Manifolds (5/8)
  47. Chapter 4: Isoparametric Submanifolds and Their Focal Manifolds (6/8)
  48. Chapter 4: Isoparametric Submanifolds and Their Focal Manifolds (7/8)
  49. Chapter 4: Isoparametric Submanifolds and Their Focal Manifolds (8/8)
  50. Chapter 5: Rank Rigidity of Submanifolds and Normal Holonomy of Orbits (1/4)
  51. Chapter 5: Rank Rigidity of Submanifolds and Normal Holonomy of Orbits (2/4)
  52. Chapter 5: Rank Rigidity of Submanifolds and Normal Holonomy of Orbits (3/4)
  53. Chapter 5: Rank Rigidity of Submanifolds and Normal Holonomy of Orbits (4/4)
  54. Chapter 6: Homogeneous Structures on Submanifolds (1/4)
  55. Chapter 6: Homogeneous Structures on Submanifolds (2/4)
  56. Chapter 6: Homogeneous Structures on Submanifolds (3/4)
  57. Chapter 6: Homogeneous Structures on Submanifolds (4/4)
  58. Chapter 7: Normal Holonomy of Complex Submanifolds (1/5)
  59. Chapter 7: Normal Holonomy of Complex Submanifolds (2/5)
  60. Chapter 7: Normal Holonomy of Complex Submanifolds (3/5)
  61. Chapter 7: Normal Holonomy of Complex Submanifolds (4/5)
  62. Chapter 7: Normal Holonomy of Complex Submanifolds (5/5)
  63. Chapter 8: The Berger-Simons Holonomy Theorem (1/2)
  64. Chapter 8: The Berger-Simons Holonomy Theorem (2/2)
  65. Chapter 9: The Skew-Torsion Holonomy Theorem (1/5)
  66. Chapter 9: The Skew-Torsion Holonomy Theorem (2/5)
  67. Chapter 9: The Skew-Torsion Holonomy Theorem (3/5)
  68. Chapter 9: The Skew-Torsion Holonomy Theorem (4/5)
  69. Chapter 9: The Skew-Torsion Holonomy Theorem (5/5)
  70. Chapter 10: Submanifolds of Riemannian Manifolds (1/4)
  71. Chapter 10: Submanifolds of Riemannian Manifolds (2/4)
  72. Chapter 10: Submanifolds of Riemannian Manifolds (3/4)
  73. Chapter 10: Submanifolds of Riemannian Manifolds (4/4)
  74. Chapter 11: Submanifolds of Symmetric Spaces (1/7)
  75. Chapter 11: Submanifolds of Symmetric Spaces (2/7)
  76. Chapter 11: Submanifolds of Symmetric Spaces (3/7)
  77. Chapter 11: Submanifolds of Symmetric Spaces (4/7)
  78. Chapter 11: Submanifolds of Symmetric Spaces (5/7)
  79. Chapter 11: Submanifolds of Symmetric Spaces (6/7)
  80. Chapter 11: Submanifolds of Symmetric Spaces (7/7)
  81. Chapter 12: Polar Actions on Symmetric Spaces of Compact Type (1/3)
  82. Chapter 12: Polar Actions on Symmetric Spaces of Compact Type (2/3)
  83. Chapter 12: Polar Actions on Symmetric Spaces of Compact Type (3/3)
  84. Chapter 13: Polar Actions on Symmetric Spaces of Noncompact Type (1/11)
  85. Chapter 13: Polar Actions on Symmetric Spaces of Noncompact Type (2/11)
  86. Chapter 13: Polar Actions on Symmetric Spaces of Noncompact Type (3/11)
  87. Chapter 13: Polar Actions on Symmetric Spaces of Noncompact Type (4/11)
  88. Chapter 13: Polar Actions on Symmetric Spaces of Noncompact Type (5/11)
  89. Chapter 13: Polar Actions on Symmetric Spaces of Noncompact Type (6/11)
  90. Chapter 13: Polar Actions on Symmetric Spaces of Noncompact Type (7/11)
  91. Chapter 13: Polar Actions on Symmetric Spaces of Noncompact Type (8/11)
  92. Chapter 13: Polar Actions on Symmetric Spaces of Noncompact Type (9/11)
  93. Chapter 13: Polar Actions on Symmetric Spaces of Noncompact Type (10/11)
  94. Chapter 13: Polar Actions on Symmetric Spaces of Noncompact Type (11/11)
  95. Appendix A: Basic Material (1/7)
  96. Appendix A: Basic Material (2/7)
  97. Appendix A: Basic Material (3/7)
  98. Appendix A: Basic Material (4/7)
  99. Appendix A: Basic Material (5/7)
  100. Appendix A: Basic Material (6/7)
  101. Appendix A: Basic Material (7/7)
  102. Bibliography (1/5)
  103. Bibliography (2/5)
  104. Bibliography (3/5)
  105. Bibliography (4/5)
  106. Bibliography (5/5)
  107. Back Cover

Product information

  • Title: Submanifolds and Holonomy, 2nd Edition
  • Author(s): Jurgen Berndt, Sergio Console, Carlos Enrique Olmos
  • Release date: February 2016
  • Publisher(s): Chapman and Hall/CRC
  • ISBN: 9781482245165