Riemannian Holonomy Groups and Calibrated Geometry - JOYCE DOMINIC D

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E-Book (pdf) Riemannian Holonomy Groups and Calibrated Geometry von JOYCE DOMINIC D

Riemannian Holonomy Groups and Calibrated Geometry JOYCE DOMINIC D E-Books Englisch

Riemannian holonomy groups and calibrated geometry covers an exciting and active area of research at the crossroads of several different fields in Mathematics and Physics. Drawing on the author's previous work the text has been written to explain the advanced mathematics involved simply and clearly to graduate students in both disciplines.

Zusammenfassung
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 withthe basic geometry of connections, curvature, complex and Khler 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, givingmany open problems.

Titel

Riemannian Holonomy Groups and Calibrated Geometry

Autor

JOYCE DOMINIC D

EAN

9780191526978

ISBN

978-0-19-152697-8

Format

E-Book (pdf)

Hersteller

Oxford University Press