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Riemannian Holonomy Groups and Calibrated Geometry.

Riemannian Holonomy Groups and Calibrated Geometry.

・ISBN 978-0-19-921560-7 hard GB£ 177.50

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電子版あり 大学・学術機関向け電子ブック(eBook)ISBN 978-1-383-03540-7

著者・編者Joyce, Dominic D.,
シリーズOxford Graduate Texts in Mathematics
出版社(Oxford University Press, UK)
出版年月2007
ページ数320 pp.
言語ENG
ニュース番号<M25-484>

解説

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 Kaehler 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.