Systems Of Linear Partial Differential Equations And Deformation Of Pseudogroup Structures

Author : Antonio Kumpera,Donald Clayton Spencer,Université de Montréal. Département de mathématiques
Publisher : Presses de l'Université de Montréal
Page : 108 pages
File Size : 48,5 Mb
Release : 1974
Category : Differential equations, Linear
ISBN : UOM:39015039390003

Get Book

Systems of Linear Partial Differential Equations and Deformation of Pseudogroup Structures by Antonio Kumpera,Donald Clayton Spencer,Université de Montréal. Département de mathématiques Pdf

The main goal of these notes is the description of a non-linear complex into which the integrability (or compatibility) condition is inserted as a non-linear operator in such a way that exactness implies the integrability of the almost-structure (existence of local coordinates for the structure) or, by the introduction of parameters, the existence of a (germ of) deformation of the structure. To the non-linear complex are attached some fundamental identities and a structure equation. The non-linear complex is a finite form of the initial portion of a linear complex which is a differential graded Lie algebra. The operators in the non-linear and linear complexes are of first order.

Author : Victor Guillemin,Shlomo Sternberg
Publisher : American Mathematical Soc.
Page : 80 pages
File Size : 55,6 Mb
Release : 1966
Category : Mathematics
ISBN : 9780821812648

Get Book

Deformation Theory of Pseudogroup Structures by Victor Guillemin,Shlomo Sternberg Pdf

Author : J. F. Pommaret
Publisher : CRC Press
Page : 428 pages
File Size : 46,9 Mb
Release : 1978
Category : Mathematics
ISBN : 067700270X

Get Book

Systems of Partial Differential Equations and Lie Pseudogroups by J. F. Pommaret Pdf

Author : Constantin Neophytos Kockinos
Publisher : Unknown
Page : 504 pages
File Size : 47,7 Mb
Release : 1974
Category : Jets (Topology)
ISBN : STANFORD:36105011768053

Get Book

Jets, Derivations, and Deformation of Pseudogroup Structures by Constantin Neophytos Kockinos Pdf

Author : Donald Clayton Spencer
Publisher : World Scientific
Page : 460 pages
File Size : 49,8 Mb
Release : 1985
Category : Mathematics
ISBN : 9971978040

Get Book

Selecta by Donald Clayton Spencer Pdf

Author : Antonio Kumpera,Donald Clayton Spencer
Publisher : Princeton University Press
Page : 309 pages
File Size : 54,8 Mb
Release : 2016-03-02
Category : Mathematics
ISBN : 9781400881734

Get Book

Lie Equations, Vol. I by Antonio Kumpera,Donald Clayton Spencer Pdf

In this monograph the authors redevelop the theory systematically using two different approaches. A general mechanism for the deformation of structures on manifolds was developed by Donald Spencer ten years ago. A new version of that theory, based on the differential calculus in the analytic spaces of Grothendieck, was recently given by B. Malgrange. The first approach adopts Malgrange's idea in defining jet sheaves and linear operators, although the brackets and the non-linear theory arc treated in an essentially different manner. The second approach is based on the theory of derivations, and its relationship to the first is clearly explained. The introduction describes examples of Lie equations and known integrability theorems, and gives applications of the theory to be developed in the following chapters and in the subsequent volume.

Author : Robert Hermann
Publisher : Math Science Press
Page : 363 pages
File Size : 51,9 Mb
Release : 1991
Category : Mathematics
ISBN : 0915692422

Get Book

Geometric Structures in Nonlinear Physics by Robert Hermann Pdf

VOLUME 26 of INTERDISCIPLINARY MATHEMATICS, series expounding mathematical methodology in Physics & Engineering. TOPICS: Differential & Riemannian Geometry; Theories of Vorticity Dynamics, Einstein-Hilbert Gravitation, Colobeau-Rosinger Generalized Function Algebra, Deformations & Quantum Mechanics of Particles & Fields. Ultimate goal is to develop mathematical framework for reconciling Quantum Mechanics & concept of Point Particle. New ideas for researchers & students. Order: Math Sci Press, 53 Jordan Road, Brookline, MA 02146. (617) 738-0307.

Author : Donald Clayton Spencer,Shokichi Iyanaga
Publisher : Princeton University Press
Page : 423 pages
File Size : 45,5 Mb
Release : 2015-03-08
Category : Mathematics
ISBN : 9781400871230

Get Book

Global Analysis by Donald Clayton Spencer,Shokichi Iyanaga Pdf

Global analysis describes diverse yet interrelated research areas in analysis and algebraic geometry, particularly those in which Kunihiko Kodaira made his most outstanding contributions to mathematics. The eminent contributors to this volume, from Japan, the United States, and Europe, have prepared original research papers that illustrate the progress and direction of current research in complex variables and algebraic and differential geometry. The authors investigate, among other topics, complex manifolds, vector bundles, curved 4-dimensional space, and holomorphic mappings. Bibliographies facilitate further reading in the development of the various studies. Originally published in 1970. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.

Author : Michiel Hazewinkel,Murray Gerstenhaber
Publisher : Springer Science & Business Media
Page : 1024 pages
File Size : 44,6 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9789400930575

Get Book

Deformation Theory of Algebras and Structures and Applications by Michiel Hazewinkel,Murray Gerstenhaber Pdf

This volume is a result of a meeting which took place in June 1986 at 'll Ciocco" in Italy entitled 'Deformation theory of algebras and structures and applications'. It appears somewhat later than is perhaps desirable for a volume resulting from a summer school. In return it contains a good many results which were not yet available at the time of the meeting. In particular it is now abundantly clear that the Deformation theory of algebras is indeed central to the whole philosophy of deformations/perturbations/stability. This is one of the main results of the 254 page paper below (practically a book in itself) by Gerstenhaber and Shack entitled "Algebraic cohomology and defor mation theory". Two of the main philosphical-methodological pillars on which deformation theory rests are the fol lowing • (Pure) To study a highly complicated object, it is fruitful to study the ways in which it can arise as a limit of a family of simpler objects: "the unraveling of complicated structures" . • (Applied) If a mathematical model is to be applied to the real world there will usually be such things as coefficients which are imperfectly known. Thus it is important to know how the behaviour of a model changes as it is perturbed (deformed).

Author : Donald Clayton Spencer,American Mathematical Society
Publisher : American Mathematical Soc.
Page : 505 pages
File Size : 52,5 Mb
Release : 1973
Category : Mathematics
ISBN : 9780821814239

Get Book

Partial Differential Equations by Donald Clayton Spencer,American Mathematical Society Pdf

Author : Robert Hermann
Publisher : Math-Sci Press
Page : 286 pages
File Size : 41,8 Mb
Release : 1994
Category : Mathematics
ISBN : 0915692457

Get Book

Lie-Theoretic Ode Numerical Analysis, Mechanics and Differential Systems by Robert Hermann Pdf

Author : Anonim
Publisher : Unknown
Page : 332 pages
File Size : 52,7 Mb
Release : 1982
Category : Calculus of tensors
ISBN : UOM:39015046566918

Get Book

Tensor by Anonim Pdf

Author : R. V. Gamkrelidze
Publisher : Springer Science & Business Media
Page : 109 pages
File Size : 54,6 Mb
Release : 2013-11-11
Category : Mathematics
ISBN : 9781475715897

Get Book

Mathematical Analysis by R. V. Gamkrelidze Pdf

The present book contains three articles: "Systems of Linear Differential Equations," by V. P. Palamodov; "Fredholm Operators and Their Generalizations," by S. N. Krachkovskii and A. S. Di kanskii; and "Representations of Groups and Algebras in Spaces with an Indefinite Metric" by M. A. Naimark and R. S. Ismagilov. In the fi.rst article the accent is on those characteristics of systems of differential equations which distinguish the systems from the scalar case. Considerable space is devoted in particular to "nonquadratic systems," a topic that has very recently stimulated interest. The second article is devoted to the algebraic aspects of the theory of operators (determinant theory in particular) in Banach and linear topological spaces. The third article reflects the present state of the art in the given area of the theory of representations, which has been re ceiving considerable attention in connection with its applications in physics (particularly in quantum field theory) and in the theory of differential equations.

Author : Shlomo Sternberg
Publisher : American Mathematical Soc.
Page : 466 pages
File Size : 55,9 Mb
Release : 1999
Category : Geometry, Differential
ISBN : 9780821813850

Get Book

Lectures on Differential Geometry by Shlomo Sternberg Pdf

This book is based on lectures given at Harvard University during the academic year 1960-1961. The presentation assumes knowledge of the elements of modern algebra (groups, vector spaces, etc.) and point-set topology and some elementary analysis. Rather than giving all the basic information or touching upon every topic in the field, this work treats various selected topics in differential geometry. The author concisely addresses standard material and spreads exercises throughout the text. His reprint has two additions to the original volume: a paper written jointly with V. Guillemin at the beginning of a period of intense interest in the equivalence problem and a short description from the author on results in the field that occurred between the first and the second printings.

Author : Basil Nicolaenko,Darryl D. Holm,James M. Hyman
Publisher : American Mathematical Soc.
Page : 494 pages
File Size : 42,7 Mb
Release : 1986
Category : Mathematics
ISBN : 0821811258

Get Book

Nonlinear Systems of Partial Differential Equations in Applied Mathematics, Part 1 by Basil Nicolaenko,Darryl D. Holm,James M. Hyman Pdf

Focusing on the increased interplay of theoretical advances in nonlinear hyperbolic systems, completely integrable systems, and evolutionary systems of nonlinear partial differential equations, this title contains papers grouped in sections: integrable systems, hyperbolic systems, variational problems, evolutionary systems, and dispersive systems.