Riemannian Holonomy Groups and Calibrated Geometry
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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 K hler 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.
Format:Hardcover
Language:English
ISBN:019921560X
ISBN13:9780199215607
Release Date:May 2007
Publisher:OUP Oxford
Length:320 Pages
Weight:1.36 lbs.
Dimensions:0.8" x 6.1" x 9.2"
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