Riemannian holonomy groups and calibrated geometry
Joyce, Dominic D.
Riemannian holonomy groups and calibrated geometry - Oxford: Oxford University Press, 2007. - xi, 303p.: pbk.: 21 cm. - Oxford Graduate Texts in Mathematics; 12 .
Includes bibliographical references and index.
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 Kähler 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.
https://global.oup.com/academic/product/riemannian-holonomy-groups-and-calibrated-geometry-9780199215591?cc=in&lang=en&#
9780199215591
Calibrated geometry
Calabi Conjecture
Special Lagrangian geometry
Mirror Symmetry
Kähler manifolds
Associative, coassociative and Cayley submanifolds
516.373 JOY
Riemannian holonomy groups and calibrated geometry - Oxford: Oxford University Press, 2007. - xi, 303p.: pbk.: 21 cm. - Oxford Graduate Texts in Mathematics; 12 .
Includes bibliographical references and index.
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 Kähler 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.
https://global.oup.com/academic/product/riemannian-holonomy-groups-and-calibrated-geometry-9780199215591?cc=in&lang=en&#
9780199215591
Calibrated geometry
Calabi Conjecture
Special Lagrangian geometry
Mirror Symmetry
Kähler manifolds
Associative, coassociative and Cayley submanifolds
516.373 JOY
