Riemannian Holonomy Groups And Calibrated Geometry
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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 | : 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 | : Simon Salamon |
Publisher | : Longman |
Total Pages | : 201 |
Release | : 1989 |
Genre | : Geometry, Riemannian |
ISBN | : 9780582017672 |
Download Riemannian Geometry and Holonomy Groups Book in PDF, Epub and Kindle
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 | : Vicente Cortés |
Publisher | : Springer |
Total Pages | : 121 |
Release | : 2018-12-05 |
Genre | : Mathematics |
ISBN | : 3030011267 |
Download Geometric Flows and the Geometry of Space-time Book in PDF, Epub and Kindle
This book consists of two lecture notes on geometric flow equations (O. Schnürer) and Lorentzian geometry - holonomy, spinors and Cauchy Problems (H. Baum and T. Leistner) written by leading experts in these fields. It grew out of the summer school “Geometric flows and the geometry of space-time” held in Hamburg (2016) and provides an excellent introduction for students of mathematics and theoretical physics to important themes of current research in global analysis, differential geometry and mathematical physics
Author | : Mark Gross |
Publisher | : Springer Science & Business Media |
Total Pages | : 245 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 3642190049 |
Download Calabi-Yau Manifolds and Related Geometries Book in PDF, Epub and Kindle
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
Author | : Giuseppe Gaeta |
Publisher | : Springer |
Total Pages | : 193 |
Release | : 2017-07-21 |
Genre | : Science |
ISBN | : 331954358X |
Download Lectures on Hyperhamiltonian Dynamics and Physical Applications Book in PDF, Epub and Kindle
This book provides the mathematical foundations of the theory of hyperhamiltonian dynamics, together with a discussion of physical applications. In addition, some open problems are discussed. Hyperhamiltonian mechanics represents a generalization of Hamiltonian mechanics, in which the role of the symplectic structure is taken by a hyperkähler one (thus there are three Kähler/symplectic forms satisfying quaternionic relations). This has proved to be of use in the description of physical systems with spin, including those which do not admit a Hamiltonian formulation. The book is the first monograph on the subject, which has previously been treated only in research papers.
Author | : Kelli Francis-Staite |
Publisher | : Cambridge University Press |
Total Pages | : 224 |
Release | : 2023-12-31 |
Genre | : Mathematics |
ISBN | : 1009400207 |
Download C∞-Algebraic Geometry with Corners Book in PDF, Epub and Kindle
Schemes in algebraic geometry can have singular points, whereas differential geometers typically focus on manifolds which are nonsingular. However, there is a class of schemes, 'C∞-schemes', which allow differential geometers to study a huge range of singular spaces, including 'infinitesimals' and infinite-dimensional spaces. These are applied in synthetic differential geometry, and derived differential geometry, the study of 'derived manifolds'. Differential geometers also study manifolds with corners. The cube is a 3-dimensional manifold with corners, with boundary the six square faces. This book introduces 'C∞-schemes with corners', singular spaces in differential geometry with good notions of boundary and corners. They can be used to define 'derived manifolds with corners' and 'derived orbifolds with corners'. These have applications to major areas of symplectic geometry involving moduli spaces of J-holomorphic curves. This work will be a welcome source of information and inspiration for graduate students and researchers working in differential or algebraic geometry.
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 | : Spiro Karigiannis |
Publisher | : Springer Nature |
Total Pages | : 392 |
Release | : 2020-05-26 |
Genre | : Mathematics |
ISBN | : 1071605771 |
Download Lectures and Surveys on G2-Manifolds and Related Topics Book in PDF, Epub and Kindle
This book, one of the first on G2 manifolds in decades, collects introductory lectures and survey articles largely based on talks given at a workshop held at the Fields Institute in August 2017, as part of the major thematic program on geometric analysis. It provides an accessible introduction to various aspects of the geometry of G2 manifolds, including the construction of examples, as well as the intimate relations with calibrated geometry, Yang-Mills gauge theory, and geometric flows. It also features the inclusion of a survey on the new topological and analytic invariants of G2 manifolds that have been recently discovered. The first half of the book, consisting of several introductory lectures, is aimed at experienced graduate students or early career researchers in geometry and topology who wish to familiarize themselves with this burgeoning field. The second half, consisting of numerous survey articles, is intended to be useful to both beginners and experts in the field.