Riemannian Holonomy Groups and Calibrated Geometry
Dominic D. Joyce
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.
Категорії:
Рік:
2007
Видавництво:
Oxford University Press
Мова:
english
Сторінки:
320
ISBN 10:
142947033X
ISBN 13:
9781429470339
Серії:
Oxford Graduate Texts in Mathematics
Файл:
DJVU, 2.51 MB
IPFS:
,
english, 2007
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