Riemannian Holonomy Groups and Calibrated Geometry by Dominic D. Joyce

Riemannian Holonomy Groups and Calibrated Geometry



Download Riemannian Holonomy Groups and Calibrated Geometry




Riemannian Holonomy Groups and Calibrated Geometry Dominic D. Joyce
Language: English
Page: 320
Format: pdf
ISBN: , 9780199215591
Publisher: Oxford University Press, USA

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.

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