Metrics of Special Holonomy and Gluing Theorems (Paperback)
  • Metrics of Special Holonomy and Gluing Theorems (Paperback)
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Metrics of Special Holonomy and Gluing Theorems (Paperback)

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£30.00
Paperback 200 Pages / Published: 01/07/2016
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This book describes applications of the PDE methods to the construction and study of Ricci-flat metrics with special holonomy. Particular attention is paid to Ricci-flat Kahler (Calabi-Yau) structures on complex manifolds and hyper-Kahler structures on K3 surfaces. Complex manifolds are also an object of study in algebraic geometry and special consideration is given to the interplay between some well-known algebraic varieties (K3 surfaces, Fano threefolds, for example) and differential-geometric structures of special holonomy. The interplay between the gluing techniques, Calabi-Yau theory and algebraic geometry is further illuminated by the connected sum construction of compact 7-dimensional manifolds with holonomy G2.

Publisher: Imperial College Press
ISBN: 9781860948435
Number of pages: 200

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