Riemannian Holonomy Groups and Calibrated Geometry PDF Download

Author: Dominic D. Joyce
Publisher: Oxford University Press
ISBN: 019921560X
Category : Mathematics
Languages : en
Pages : 314

View

Book Description
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: Jurgen Berndt
Publisher: CRC Press
ISBN: 1482245167
Category : Mathematics
Languages : en
Pages : 494

View

Book Description
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
ISBN: 9780198506010
Category : Mathematics
Languages : en
Pages : 460

View

Book Description
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: Alberto Candel
Publisher: American Mathematical Soc.
ISBN: 9780821872130
Category : Foliations (Mathematics)
Languages : en
Pages : 424

View

Book Description

Author: Christian Bär
Publisher: Springer Science & Business Media
ISBN: 3642228429
Category : Mathematics
Languages : en
Pages : 520

View

Book Description
This volume contains a collection of well-written surveys provided by experts in Global Differential Geometry to give an overview over recent developments in Riemannian Geometry, Geometric Analysis and Symplectic Geometry. The papers are written for graduate students and researchers with a general interest in geometry, who want to get acquainted with the current trends in these central fields of modern mathematics.

Author: Sigbjørn Hervik
Publisher: Springer Nature
ISBN: 3030812960
Category : Mathematics
Languages : en
Pages : 337

View

Book Description
This book consists of contributions from the participants of the Abel Symposium 2019 held in Ålesund, Norway. It was centered about applications of the ideas of symmetry and invariance, including equivalence and deformation theory of geometric structures, classification of differential invariants and invariant differential operators, integrability analysis of equations of mathematical physics, progress in parabolic geometry and mathematical aspects of general relativity. The chapters are written by leading international researchers, and consist of both survey and research articles. The book gives the reader an insight into the current research in differential geometry and Lie theory, as well as applications of these topics, in particular to general relativity and string theory.

Author: Pawel Walczak
Publisher: Birkhäuser
ISBN: 3034878877
Category : Mathematics
Languages : en
Pages : 236

View

Book Description
This book deals with the dynamics of general systems such as foliations, groups and pseudogroups, systems which are closely related via the notion of holonomy. It concentrates on notions and results related to different ways of measuring complexity of systems under consideration. More precisely, it deals with different types of growth, entropies and dimensions of limiting objects. Problems related to the topics covered are provided throughout the book.

Author: Hernan Ocampo
Publisher: Springer Science & Business Media
ISBN: 9783540242833
Category : Science
Languages : en
Pages : 256

View

Book Description
This volume offers an introduction, in the form of four extensive lectures, to some recent developments in several active topics at the interface between geometry, topology and quantum field theory. The first lecture is by Christine Lescop on knot invariants and configuration spaces, in which a universal finite-type invariant for knots is constructed as a series of integrals over configuration spaces. This is followed by the contribution of Raimar Wulkenhaar on Euclidean quantum field theory from a statistical point of view. The author also discusses possible renormalization techniques on noncommutative spaces. The third lecture is by Anamaria Font and Stefan Theisen on string compactification with unbroken supersymmetry. The authors show that this requirement leads to internal spaces of special holonomy and describe Calabi-Yau manifolds in detail. The last lecture, by Thierry Fack, is devoted to a K-theory proof of the Atiyah-Singer index theorem and discusses some applications of K-theory to noncommutative geometry. These lectures notes, which are aimed in particular at graduate students in physics and mathematics, start with introductory material before presenting more advanced results. Each chapter is self-contained and can be read independently.

Author: Y. Eliashberg
Publisher: American Mathematical Soc.
ISBN: 0821807765
Category : Mathematics
Languages : en
Pages : 82

View

Book Description
This book presents the first steps of a theory of confoliations designed to link geometry and topology of three-dimensional contact structures with the geometry and topology of codimension-one foliations on three-dimensional manifolds. Developing almost independently, these theories at first glance belonged to two different worlds: The theory of foliations is part of topology and dynamical systems, while contact geometry is the odd-dimensional "brother" of symplectic geometry. However, both theories have developed a number of striking similarities. Confoliations--which interpolate between contact structures and codimension-one foliations--should help us to understand better links between the two theories. These links provide tools for transporting results from one field to the other.

Author: Giovanni Falcone
Publisher: Springer
ISBN: 3319621815
Category : Mathematics
Languages : en
Pages : 368

View

Book Description
This book collects a series of contributions addressing the various contexts in which the theory of Lie groups is applied. A preliminary chapter serves the reader both as a basic reference source and as an ongoing thread that runs through the subsequent chapters. From representation theory and Gerstenhaber algebras to control theory, from differential equations to Finsler geometry and Lepage manifolds, the book introduces young researchers in Mathematics to a wealth of different topics, encouraging a multidisciplinary approach to research. As such, it is suitable for students in doctoral courses, and will also benefit researchers who want to expand their field of interest.