ENGLISH

Riemannian Holonomy Groups and Calibrated Geometry

By Dominic D. Joyce

Book information

Publisher
Oxford University Press
Year
2007
ISBN
019921560X, 9780199215607, 0199215596, 9780199215591, 9781429470339
Language
english
Format
DJVU
Filesize
3 MB (2637009 bytes)
Series
Oxford Graduate Texts in Mathematics
Pages
320\314
Time added
2011-06-04 13:46:07

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 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.

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