Differential Geometry And Its Applications

Differential Geometry and Its Applications PDF
Author: Old?ich Kowalski
Publisher: World Scientific
ISBN: 9812790608
Category : Mathematics
Languages : en
Pages : 717

Get Book

Differential Geometry And Its Applications

by Old?ich Kowalski, Differential Geometry And Its Applications Books available in PDF, EPUB, Mobi Format. Download Differential Geometry And Its Applications books, This volume contains invited lectures and selected research papers in the fields of classical and modern differential geometry, global analysis, and geometric methods in physics, presented at the 10th International Conference on Differential Geometry and its Applications (DGA2007), held in Olomouc, Czech Republic.The book covers recent developments and the latest results in the following fields: Riemannian geometry, connections, jets, differential invariants, the calculus of variations on manifolds, differential equations, Finsler structures, and geometric methods in physics. It is also a celebration of the 300th anniversary of the birth of one of the greatest mathematicians, Leonhard Euler, and includes the Euler lecture ?Leonhard Euler ? 300 years on? by R Wilson. Notable contributors include J F Cari¤ena, M Castrill¢n L¢pez, J Erichhorn, J-H Eschenburg, I Kol ?, A P Kopylov, J Korba?, O Kowalski, B Kruglikov, D Krupka, O Krupkov , R L‚andre, Haizhong Li, S Maeda, M A Malakhaltsev, O I Mokhov, J Mu¤oz Masqu‚, S Preston, V Rovenski, D J Saunders, M Sekizawa, J Slov k, J Szilasi, L Tam ssy, P Walczak, and others.



Lie Groupoids And Lie Algebroids In Differential Geometry

Lie Groupoids and Lie Algebroids in Differential Geometry PDF
Author: K. Mackenzie
Publisher: Cambridge University Press
ISBN: 052134882X
Category : Mathematics
Languages : en
Pages : 327

Get Book

Lie Groupoids And Lie Algebroids In Differential Geometry

by K. Mackenzie, Lie Groupoids And Lie Algebroids In Differential Geometry Books available in PDF, EPUB, Mobi Format. Download Lie Groupoids And Lie Algebroids In Differential Geometry books, This book provides a striking synthesis of the standard theory of connections in principal bundles and the Lie theory of Lie groupoids. The concept of Lie groupoid is a little-known formulation of the concept of principal bundle and corresponding to the Lie algebra of a Lie group is the concept of Lie algebroid: in principal bundle terms this is the Atiyah sequence. The author's viewpoint is that certain deep problems in connection theory are best addressed by groupoid and Lie algebroid methods. After preliminary chapters on topological groupoids, the author gives the first unified and detailed account of the theory of Lie groupoids and Lie algebroids. He then applies this theory to the cohomology of Lie algebroids, re-interpreting connection theory in cohomological terms, and giving criteria for the existence of (not necessarily Riemannian) connections with prescribed curvature form. This material, presented in the last two chapters, is work of the author published here for the first time. This book will be of interest to differential geometers working in general connection theory and to researchers in theoretical physics and other fields who make use of connection theory.



Acta Arithmetica

Acta arithmetica PDF
Author:
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages :

Get Book

Acta Arithmetica

by , Acta Arithmetica Books available in PDF, EPUB, Mobi Format. Download Acta Arithmetica books,



Groups Geometry And Physics

Groups  Geometry and Physics PDF
Author: Jesús Clemente-Gallardo
Publisher:
ISBN:
Category : Class groups (Mathematics)
Languages : en
Pages : 225

Get Book

Groups Geometry And Physics

by Jesús Clemente-Gallardo, Groups Geometry And Physics Books available in PDF, EPUB, Mobi Format. Download Groups Geometry And Physics books,



Symmetries And Related Topics In Differential And Difference Equations

Symmetries and Related Topics in Differential and Difference Equations PDF
Author: David Blázquez-Sanz
Publisher: American Mathematical Soc.
ISBN: 0821868721
Category : Mathematics
Languages : en
Pages : 163

Get Book

Symmetries And Related Topics In Differential And Difference Equations

by David Blázquez-Sanz, Symmetries And Related Topics In Differential And Difference Equations Books available in PDF, EPUB, Mobi Format. Download Symmetries And Related Topics In Differential And Difference Equations books, This volume represents the 2009 Jairo Charris Seminar in Symmetries of Differential and Difference Equations, which was held at the Universidad Sergio Arboleda in Bogota, Colombia. The papers include topics such as Lie symmetries, equivalence transformations and differential invariants, group theoretical methods in linear equations, namely differential Galois theory and Stokes phenomenon, and the development of some geometrical methods in theoretical physics. The reader will find new interesting results in symmetries of differential and difference equations, applications in classical and quantum mechanics, two fundamental problems of theoretical mechanics, the mathematical nature of time in Lagrangian mechanics and the preservation of the equations of motion by changes of frame, and discrete Hamiltonian systems arising in geometrical optics and analogous to those of finite quantum mechanics.