Riemannian Holonomy Groups and Calibrated Geometry

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 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.Additional ISBNs0199215596, 019921560X, 9780199215591, 9780199215607Riemannian Holonomy Groups and Calibrated Geometry is written by Dominic D. Joyce and published by OUP Oxford. ISBNs for Riemannian Holonomy Groups and Calibrated Geometry are 9780191526978, 0191526975 and the print ISBNs are 9780199215591, 0199215596. Additional ISBNs include 0199215596, 019921560X, 9780199215591, 9780199215607.