02943nam 2200637Ia 450 991045162460332120200520144314.01-281-14944-697866111494440-19-152697-51-4294-7033-X(CKB)1000000000473535(EBL)415726(OCoLC)476244517(SSID)ssj0000238240(PQKBManifestationID)11197984(PQKBTitleCode)TC0000238240(PQKBWorkID)10234136(PQKB)10858746(MiAaPQ)EBC415726(PPN)145863344(Au-PeEL)EBL415726(CaPaEBR)ebr10170129(CaONFJC)MIL114944(EXLCZ)99100000000047353520061122d2007 uy 0engur|n|---|||||txtccrRiemannian holonomy groups and calibrated geometry[electronic resource] /Dominic D. JoyceOxford Oxford University Press20071 online resource (314 p.)Oxford graduate texts in mathematics ;12Description based upon print version of record.0-19-921560-X 0-19-921559-6 Includes bibliographical references and index.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; IndexRiemannian holonomy groups and calibrated geometry covers an exciting and active area of research at the crossroads of several different fields in Mathematics and Physics. Drawing on the author's previous work the text has been written to explain the advanced mathematics involved simply and clearly to graduate students in both disciplines. - ;This graduate level text covers an exciting and active area of research at the crossroads of several different fields in Mathematics and Physics. In Mathematics it involves Differential Geometry, Complex Algebraic Geometry, Symplectic Geometry, and in PhyOxford graduate texts in mathematics ;12.Geometry, RiemannianHolonomy groupsElectronic books.Geometry, Riemannian.Holonomy groups.516.373Joyce Dominic D66989MiAaPQMiAaPQMiAaPQBOOK9910451624603321Riemannian holonomy groups and calibrated geometry1229831UNINA