Riemannian Holonomy Groups and Calibrated Geometry
Title | Riemannian Holonomy Groups and Calibrated Geometry PDF eBook |
Author | Dominic D. Joyce |
Publisher | Oxford University Press |
Total Pages | 314 |
Release | 2007 |
Genre | Mathematics |
ISBN | 019921560X |
Covering an exciting and active area of research at the crossroads of several different fields in mathematics and physics, and drawing on the author's previous work, this text has been written to explain the advanced mathematics involved simply and clearly to graduate students in both disciplines.
Riemannian Geometry and Holonomy Groups
Title | Riemannian Geometry and Holonomy Groups PDF eBook |
Author | Simon Salamon |
Publisher | Longman Scientific and Technical |
Total Pages | 226 |
Release | 1989 |
Genre | Geometry, Riemannian |
ISBN |
Submanifolds and Holonomy
Title | Submanifolds and Holonomy PDF eBook |
Author | Jurgen Berndt |
Publisher | CRC Press |
Total Pages | 494 |
Release | 2016-02-22 |
Genre | Mathematics |
ISBN | 1482245167 |
Submanifolds and Holonomy, Second Edition explores recent progress in the submanifold geometry of space forms, including new methods based on the holonomy of the normal connection. This second edition reflects many developments that have occurred since the publication of its popular predecessor.New to the Second EditionNew chapter on normal holonom
Holonomy Groups in Riemannian Geometry
Title | Holonomy Groups in Riemannian Geometry PDF eBook |
Author | Andrew Clarke |
Publisher | |
Total Pages | 126 |
Release | 2012 |
Genre | Geometry, Riemannian |
ISBN | 9788524403460 |
Calabi-Yau Manifolds and Related Geometries
Title | Calabi-Yau Manifolds and Related Geometries PDF eBook |
Author | Mark Gross |
Publisher | Springer Science & Business Media |
Total Pages | 245 |
Release | 2012-12-06 |
Genre | Mathematics |
ISBN | 3642190049 |
This is an introduction to a very active field of research, on the boundary between mathematics and physics. It is aimed at graduate students and researchers in geometry and string theory. Proofs or sketches are given for many important results. From the reviews: "An excellent introduction to current research in the geometry of Calabi-Yau manifolds, hyper-Kähler manifolds, exceptional holonomy and mirror symmetry....This is an excellent and useful book." --MATHEMATICAL REVIEWS
Recent Developments in Pseudo-Riemannian Geometry
Title | Recent Developments in Pseudo-Riemannian Geometry PDF eBook |
Author | Dmitriĭ Vladimirovich Alekseevskiĭ |
Publisher | European Mathematical Society |
Total Pages | 556 |
Release | 2008 |
Genre | Mathematics |
ISBN | 9783037190517 |
This book provides an introduction to and survey of recent developments in pseudo-Riemannian geometry, including applications in mathematical physics, by leading experts in the field. Topics covered are: Classification of pseudo-Riemannian symmetric spaces Holonomy groups of Lorentzian and pseudo-Riemannian manifolds Hypersymplectic manifolds Anti-self-dual conformal structures in neutral signature and integrable systems Neutral Kahler surfaces and geometric optics Geometry and dynamics of the Einstein universe Essential conformal structures and conformal transformations in pseudo-Riemannian geometry The causal hierarchy of spacetimes Geodesics in pseudo-Riemannian manifolds Lorentzian symmetric spaces in supergravity Generalized geometries in supergravity Einstein metrics with Killing leaves The book is addressed to advanced students as well as to researchers in differential geometry, global analysis, general relativity and string theory. It shows essential differences between the geometry on manifolds with positive definite metrics and on those with indefinite metrics, and highlights the interesting new geometric phenomena, which naturally arise in the indefinite metric case. The reader finds a description of the present state of the art in the field as well as open problems, which can stimulate further research.
Compact Manifolds with Special Holonomy
Title | Compact Manifolds with Special Holonomy PDF eBook |
Author | Dominic D. Joyce |
Publisher | OUP Oxford |
Total Pages | 460 |
Release | 2000 |
Genre | Mathematics |
ISBN | 9780198506010 |
This is a combination of a graduate textbook on Reimannian holonomy groups, and a research monograph on compact manifolds with the exceptional holonomy groups G2 and Spin (7). It contains much new research and many new examples.