Differential geometry of singular spaces and reduction of symmetry /
Śniatycki, Jędrzej.
Differential geometry of singular spaces and reduction of symmetry / J. Śniatycki, Department of Mathematics and Statistics, University of Calgary, Calgary, Alberta, Canada. - 1st ed. - xii, 235 pages ; 24 cm. - New mathematical monographs ; 23 .
Includes bibliographical references (pages 228-232) and index.
Machine generated contents note: Preface; 1. Introduction; Part I. Differential Geometry of Singular Spaces: 2. Differential structures; 3. Derivations; 4. Stratified spaces; 5. Differential forms; Part II. Reduction of Symmetries: 6. Symplectic reduction; 7. Commutation of quantization and reduction; 8. Further examples of reduction; References; Index.
"In this book the author illustrates the power of the theory of subcartesian differential spaces for investigating spaces with singularities. Part I gives a detailed and comprehensive presentation of the theory of differential spaces, including integration of distributions on subcartesian spaces and the structure of stratified spaces"--
9781107022713 (hardback) 1107022711 (hardback)
2012047532
Geometry, Differential.
Function spaces.
Symmetry (Mathematics)
MATHEMATICS / Topology.
QA641 / .S55 2013
516.3/6
Differential geometry of singular spaces and reduction of symmetry / J. Śniatycki, Department of Mathematics and Statistics, University of Calgary, Calgary, Alberta, Canada. - 1st ed. - xii, 235 pages ; 24 cm. - New mathematical monographs ; 23 .
Includes bibliographical references (pages 228-232) and index.
Machine generated contents note: Preface; 1. Introduction; Part I. Differential Geometry of Singular Spaces: 2. Differential structures; 3. Derivations; 4. Stratified spaces; 5. Differential forms; Part II. Reduction of Symmetries: 6. Symplectic reduction; 7. Commutation of quantization and reduction; 8. Further examples of reduction; References; Index.
"In this book the author illustrates the power of the theory of subcartesian differential spaces for investigating spaces with singularities. Part I gives a detailed and comprehensive presentation of the theory of differential spaces, including integration of distributions on subcartesian spaces and the structure of stratified spaces"--
9781107022713 (hardback) 1107022711 (hardback)
2012047532
Geometry, Differential.
Function spaces.
Symmetry (Mathematics)
MATHEMATICS / Topology.
QA641 / .S55 2013
516.3/6