000			01749 a2200277 4500
003			OSt
005			20250330225622.0
008			250110b |||||||| |||| 00| 0 eng d
020			_a9780199215591
040			_c.
082			_a516.373 JOY
100			_aJoyce, Dominic D.
245			_aRiemannian holonomy groups and calibrated geometry
260			_aOxford: _bOxford University Press, _c2007.
300			_axi, 303p.: _bpbk.: _c21 cm.
490			_aOxford Graduate Texts in Mathematics; _v12
504			_aIncludes bibliographical references and index.
520			_aThis 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 Physics String Theory and Mirror Symmetry. Drawing extensively on the author's previous work, the text explains the advanced mathematics involved simply and clearly to both mathematicians and physicists. Starting with the basic geometry of connections, curvature, complex and Kähler structures suitable for beginning graduate students, the text covers seminal results such as Yau's proof of the Calabi Conjecture, and takes the reader all the way to the frontiers of current research in calibrated geometry, giving many open problems. https://global.oup.com/academic/product/riemannian-holonomy-groups-and-calibrated-geometry-9780199215591?cc=in&lang=en&#
650			_aCalibrated geometry
650			_aCalabi Conjecture
650			_aSpecial Lagrangian geometry
650			_aMirror Symmetry
650			_aKähler manifolds
650			_aAssociative, coassociative and Cayley submanifolds
942			_cTD _2ddc
999			_c61751 _d61751