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Anotace knihy

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.

Parametry knihy

Zařazení knihy Knihy v angličtině Mathematics & science Mathematics Geometry

• Plný název: Metrics of Special Holonomy and Gluing Theorems
• Autor: Alexei Kovalev
• Jazyk: Angličtina
• Vazba: Pevná
• Počet stran: 200
• EAN: 9781860948428
• ID: 05121928
• Nakladatelství: Imperial College Press
• Datum vydání: 28. April 2015

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