ISBN: 9780198506010

The book starts with a thorough introduction to connections and holonomy groups, and to Riemannian, complex and Kahler geometry. Then the Calabi conjecture is proved and used to deduce th… mais…

The book starts with a thorough introduction to connections and holonomy groups, and to Riemannian, complex and Kahler geometry. Then the Calabi conjecture is proved and used to deduce the existence of compact manifolds with holonomy SU(m) (Calabi-Yau manifolds) and Sp(m) (hyperkahlermanifolds). These are constructed and studied using complex algebraic geometry. The second half of the book is devoted to constructions of compact 7- and 8-manifolds with the exceptional holonomy groups 92 and Spin(7). Many new examples are given, and their Betti numbers calculated. The firstknown examples of these manifolds were discovered by the author in 1993-5. This is the first book to be written about them, and contains much previously unpublished material which significantly improves the original constructions. | Compact Manifolds with Special Holonomy by Dominic David Joyce Hardcover | Indigo Chapters Books > Science & Nature > Math & Physics > Mathematics > Geometry & Topology P10117, Dominic David Joyce<

ISBN: 9780198506010

The book starts with a thorough introduction to connections and holonomy groups, and to Riemannian, complex and Kähler geometry. Then the Calabi conjecture is proved and used to deduce t… mais…

The book starts with a thorough introduction to connections and holonomy groups, and to Riemannian, complex and Kähler geometry. Then the Calabi conjecture is proved and used to deduce the existence of compact manifolds with holonomy SU(m) (Calabi-Yau manifolds) and Sp(m) (hyperkähler manifolds). These are constructed and studied using complex algebraic geometry. The second half of the book is devoted to constructions of compact 7- and 8-manifolds with the exceptional holonomy groups 92 and Spin(7). Many new examples are given, and their Betti numbers calculated. The first known examples of these manifolds were discovered by the author in 1993-5. This is the first book to be written about them, and contains much previously unpublished material which significantly improves the original constructions. Books, [PU: Oxford University Press]<

2000, ISBN: 9780198506010

OXFORD UNIV PR, Gebundene Ausgabe, Auflage: Illustrated, 436 Seiten, Publiziert: 2000-09-21T00:00:01Z, Produktgruppe: Buch, Hersteller-Nr.: black & white illustrations, 1.77 kg, Verkaufsr… mais…

OXFORD UNIV PR, Gebundene Ausgabe, Auflage: Illustrated, 436 Seiten, Publiziert: 2000-09-21T00:00:01Z, Produktgruppe: Buch, Hersteller-Nr.: black & white illustrations, 1.77 kg, Verkaufsrang: 3097, Geometrie, Naturwissenschaft & Mathematik, Fachbücher, Kategorien, Bücher, Ingenieurwissenschaft & Technik, Naturwissenschaften & Technik, Physik, Format: Illustriert, OXFORD UNIV PR, 2000<