Riemannian holonomy groups and calibrated geometry /

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Covering an exciting and active area of research at the crossroads of several different fields in mathematics and physics, and drawing on the author's previous work, this text has been written to explain the advanced mathematics involved simply and clearly to graduate students in both disciplin...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Joyce, Dominic D.
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Oxford : Oxford University Press, 2007.
Colección:Oxford graduate texts in mathematics ; 12.
Temas:
Geometry, Riemannian.
Holonomy groups.
Géométrie de Riemann.
Groupes d'holonomie.
MATHEMATICS > Geometry > Analytic.
Holonomiegruppe
Riemannsche Geometrie
Acceso en línea:Texto completo
Tabla de Contenidos:
  • Preface; Contents; 1 Background material; 2 Introduction to connections, curvature and holonomy groups; 3 Riemannian holonomy groups; 4 Calibrated geometry; 5 Kähler manifolds; 6 The Calabi Conjecture; 7 Calabi-Yau manifolds; 8 Special Lagrangian geometry; 9 Mirror symmetry and the SYZ Conjecture; 10 Hyperkähler and quaternionic Kähler manifolds; 11 The exceptional holonomy groups; 12 Associative, coassociative and Cayley submanifolds; References; Index

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