Author: Dominic D. Joyce
Publisher: Oxford University Press
ISBN: 019921560X
Category : Mathematics
Languages : en
Pages : 314
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.
Riemannian Holonomy Groups and Calibrated Geometry
Author: Dominic D. Joyce
Publisher: Oxford University Press
ISBN: 019921560X
Category : Mathematics
Languages : en
Pages : 314
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.
Publisher: Oxford University Press
ISBN: 019921560X
Category : Mathematics
Languages : en
Pages : 314
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.
Holonomy Groups
Author: Hidekiyo Wakakuwa
Publisher:
ISBN:
Category : Connections (Mathematics).
Languages : en
Pages : 194
Book Description
Publisher:
ISBN:
Category : Connections (Mathematics).
Languages : en
Pages : 194
Book Description
Differential Geometry, Lie Groups, and Symmetric Spaces
Author: Sigurdur Helgason
Publisher: Academic Press
ISBN: 0080873960
Category : Mathematics
Languages : en
Pages : 647
Book Description
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.
Publisher: Academic Press
ISBN: 0080873960
Category : Mathematics
Languages : en
Pages : 647
Book Description
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.
Compact Manifolds with Special Holonomy
Author: Dominic D. Joyce
Publisher: OUP Oxford
ISBN: 9780198506010
Category : Mathematics
Languages : en
Pages : 460
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.
Publisher: OUP Oxford
ISBN: 9780198506010
Category : Mathematics
Languages : en
Pages : 460
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.
Geometry of Crystallographic Groups
Author: Andrzej SzczepaĆski
Publisher: World Scientific
ISBN: 9814412252
Category : Mathematics
Languages : en
Pages : 208
Book Description
Crystallographic groups are groups which act in a nice way and via isometries on some n-dimensional Euclidean space. This book gives an example of the torsion free crystallographic group with a trivial center and a trivial outer automorphism group.
Publisher: World Scientific
ISBN: 9814412252
Category : Mathematics
Languages : en
Pages : 208
Book Description
Crystallographic groups are groups which act in a nice way and via isometries on some n-dimensional Euclidean space. This book gives an example of the torsion free crystallographic group with a trivial center and a trivial outer automorphism group.
Riemannian Geometry and Holonomy Groups
Author: Simon Salamon
Publisher: Longman Scientific and Technical
ISBN:
Category : Geometry, Riemannian
Languages : en
Pages : 226
Book Description
Publisher: Longman Scientific and Technical
ISBN:
Category : Geometry, Riemannian
Languages : en
Pages : 226
Book Description
Dynamics of Foliations, Groups and Pseudogroups
Author: Pawel Walczak
Publisher: Springer Science & Business Media
ISBN: 9783764370916
Category : Mathematics
Languages : en
Pages : 244
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.
Publisher: Springer Science & Business Media
ISBN: 9783764370916
Category : Mathematics
Languages : en
Pages : 244
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.
Lie Groups, Differential Equations, and Geometry
Author: Giovanni Falcone
Publisher: Springer
ISBN: 3319621815
Category : Mathematics
Languages : en
Pages : 368
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.
Publisher: Springer
ISBN: 3319621815
Category : Mathematics
Languages : en
Pages : 368
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.
Introduction to Lie Groups and Lie Algebra, 51
Author: Arthur A. Sagle
Publisher: Elsevier
ISBN: 0080925502
Category : Mathematics
Languages : en
Pages : 372
Book Description
Introduction to Lie Groups and Lie Algebra, 51
Publisher: Elsevier
ISBN: 0080925502
Category : Mathematics
Languages : en
Pages : 372
Book Description
Introduction to Lie Groups and Lie Algebra, 51
Crystallographic Groups and Their Generalizations
Author: Paul Igodt
Publisher: American Mathematical Soc.
ISBN: 082182001X
Category : Mathematics
Languages : en
Pages : 330
Book Description
This volume contains articles written by the invited speakers and workshop participants from the conference on "Crystallographic Groups and Their Generalizations", held at Katholieke Universiteit Leuven, Kortrijk (Belgium). Presented are recent developments and open problems. Topics include the theory of affine structures and polynomial structures, affine Schottky groups and crooked tilings, theory and problems on the geometry of finitely generated solvable groups, flat Lorentz 3-manifolds and Fuchsian groups, filiform Lie algebras, hyperbolic automorphisms and Anosov diffeomorphisms on infra-nilmanifolds, localization theory of virtually nilpotent groups and aspherical spaces, projective varieties, and results on affine appartment systems. Participants delivered high-level research mathematics and a discussion was held forum for new researchers. The survey results and original papers contained in this volume offer a comprehensive view of current developments in the field.
Publisher: American Mathematical Soc.
ISBN: 082182001X
Category : Mathematics
Languages : en
Pages : 330
Book Description
This volume contains articles written by the invited speakers and workshop participants from the conference on "Crystallographic Groups and Their Generalizations", held at Katholieke Universiteit Leuven, Kortrijk (Belgium). Presented are recent developments and open problems. Topics include the theory of affine structures and polynomial structures, affine Schottky groups and crooked tilings, theory and problems on the geometry of finitely generated solvable groups, flat Lorentz 3-manifolds and Fuchsian groups, filiform Lie algebras, hyperbolic automorphisms and Anosov diffeomorphisms on infra-nilmanifolds, localization theory of virtually nilpotent groups and aspherical spaces, projective varieties, and results on affine appartment systems. Participants delivered high-level research mathematics and a discussion was held forum for new researchers. The survey results and original papers contained in this volume offer a comprehensive view of current developments in the field.