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Cargando... Compact Manifolds with Special Holonomypor Dominic D. Joyce
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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 This is the first book to be written about them, and contains much previously unpublished material which significantly improves the original constructions. No se han encontrado descripciones de biblioteca. |
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Google Books — Cargando... GénerosSistema Decimal Melvil (DDC)516.07Natural sciences and mathematics Mathematics Geometry GeometryClasificación de la Biblioteca del CongresoValoraciónPromedio: No hay valoraciones.¿Eres tú?Conviértete en un Autor de LibraryThing. |