Riemannian Geometry And Holonomy Groups
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Author | : Simon Salamon |
Publisher | : Longman Scientific and Technical |
Total Pages | : 226 |
Release | : 1989 |
Genre | : Geometry, Riemannian |
ISBN | : |
Download Riemannian Geometry and Holonomy Groups Book in PDF, Epub and Kindle
Author | : Dominic D. Joyce |
Publisher | : Oxford University Press |
Total Pages | : 314 |
Release | : 2007 |
Genre | : Mathematics |
ISBN | : 019921560X |
Download Riemannian Holonomy Groups and Calibrated Geometry Book in PDF, Epub and Kindle
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.
Author | : Andrew Clarke |
Publisher | : |
Total Pages | : 126 |
Release | : 2012 |
Genre | : Geometry, Riemannian |
ISBN | : 9788524403460 |
Download Holonomy Groups in Riemannian Geometry Book in PDF, Epub and Kindle
Author | : Dominic D. Joyce |
Publisher | : OUP Oxford |
Total Pages | : 320 |
Release | : 2007-02-22 |
Genre | : Mathematics |
ISBN | : 0191526975 |
Download Riemannian Holonomy Groups and Calibrated Geometry Book in PDF, Epub and Kindle
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.
Author | : Sigurdur Helgason |
Publisher | : Academic Press |
Total Pages | : 647 |
Release | : 1979-02-09 |
Genre | : Mathematics |
ISBN | : 0080873960 |
Download Differential Geometry, Lie Groups, and Symmetric Spaces Book in PDF, Epub and Kindle
The present book is intended as a textbook and reference work on three topics in the title. Together with a volume in progress on "Groups and Geometric Analysis" it supersedes my "Differential Geometry and Symmetric Spaces," published in 1962. Since that time several branches of the subject, particularly the function theory on symmetric spaces, have developed substantially. I felt that an expanded treatment might now be useful.
Author | : Vicente Cortés |
Publisher | : European Mathematical Society |
Total Pages | : 972 |
Release | : 2010 |
Genre | : Geometry, Riemannian |
ISBN | : 9783037190791 |
Download Handbook of Pseudo-Riemannian Geometry and Supersymmetry Book in PDF, Epub and Kindle
The purpose of this handbook is to give an overview of some recent developments in differential geometry related to supersymmetric field theories. The main themes covered are: Special geometry and supersymmetry Generalized geometry Geometries with torsion Para-geometries Holonomy theory Symmetric spaces and spaces of constant curvature Conformal geometry Wave equations on Lorentzian manifolds D-branes and K-theory The intended audience consists of advanced students and researchers working in differential geometry, string theory, and related areas. The emphasis is on geometrical structures occurring on target spaces of supersymmetric field theories. Some of these structures can be fully described in the classical framework of pseudo-Riemannian geometry. Others lead to new concepts relating various fields of research, such as special Kahler geometry or generalized geometry.
Author | : Jurgen Berndt |
Publisher | : CRC Press |
Total Pages | : 494 |
Release | : 2016-02-22 |
Genre | : Mathematics |
ISBN | : 1482245167 |
Download Submanifolds and Holonomy Book in PDF, Epub and Kindle
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
Author | : Dominic D. Joyce |
Publisher | : OUP Oxford |
Total Pages | : 460 |
Release | : 2000 |
Genre | : Mathematics |
ISBN | : 9780198506010 |
Download Compact Manifolds with Special Holonomy Book in PDF, Epub and Kindle
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.
Author | : Dmitriĭ Vladimirovich Alekseevskiĭ |
Publisher | : European Mathematical Society |
Total Pages | : 556 |
Release | : 2008 |
Genre | : Mathematics |
ISBN | : 9783037190517 |
Download Recent Developments in Pseudo-Riemannian Geometry Book in PDF, Epub and Kindle
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.
Author | : Marcel Berger |
Publisher | : Springer Science & Business Media |
Total Pages | : 835 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 3642182453 |
Download A Panoramic View of Riemannian Geometry Book in PDF, Epub and Kindle
This book introduces readers to the living topics of Riemannian Geometry and details the main results known to date. The results are stated without detailed proofs but the main ideas involved are described, affording the reader a sweeping panoramic view of almost the entirety of the field. From the reviews "The book has intrinsic value for a student as well as for an experienced geometer. Additionally, it is really a compendium in Riemannian Geometry." --MATHEMATICAL REVIEWS