Riemannian Holonomy Groups and Calibrated Geometry

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Riemannian Holonomy Groups and Calibrated Geometry

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Oxford Graduate Texts in Mathematics, Volume Electronic book text. Description Details Customer Reviews This graduate level text covers an exciting and active area of research at the crossroads of several different fields in Mathematics and Physics.


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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.