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Riemannian Holonomy Groups and Calibrated Geometry

By Joyce, Dominic D.

Riemannian Holonomy Groups and Calibrated Geometry

By Joyce, Dominic D.

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Description
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.
Product details
Edition:
illustrated
Number of Pages:
314
Release Date:
2007-05-03
Publication Date:
2007-02-15
Publisher:
OUP Oxford
Languages:
Original: English
ISBN10:
019921560X
ISBN13:
9780199215607
GPSR Manufacturer Reference:
[email protected]
Weight:
637 g
Height:
161 cm
Width:
240 cm
Thickness:
21 cm
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