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Science/Engineering Riemannian Holonomy Groups and Calibrated Geometry

Posted on 2010-03-15




Name:Science/Engineering Riemannian Holonomy Groups and Calibrated Geometry
ASIN/ISBN:019921560X
Language:English
File size:2.5 Mb
Publish Date: 2007-04-05
ISBN: 019921560X
Pages: 336 pages
File Type: PDF
File Size: 2,5 MB
Other Info: Oxford University Press, USA
   Science/Engineering Riemannian Holonomy Groups and Calibrated Geometry

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Dominic D. Joyce, "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 Kahler 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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