Systems Of Linear Partial Differential Equations And Deformation Of Pseudogroup Structures
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Systems Of Linear Partial Differential Equations And Deformation Of Pseudogroup Structures
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Author : Antonio Kumpera
language : en
Publisher: Presses de l'Université de Montréal
Release Date : 1974
Systems Of Linear Partial Differential Equations And Deformation Of Pseudogroup Structures written by Antonio Kumpera and has been published by Presses de l'Université de Montréal this book supported file pdf, txt, epub, kindle and other format this book has been release on 1974 with Differential equations, Linear categories.
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.
Systems Of Linear Partial Differential Equations And Deformation Of Pseudogroup Structures
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Author :
language : en
Publisher:
Release Date : 1974
Systems Of Linear Partial Differential Equations And Deformation Of Pseudogroup Structures written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1974 with categories.
Deformation Theory Of Pseudogroup Structures
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Author : Victor Guillemin
language : en
Publisher: American Mathematical Soc.
Release Date : 1966
Deformation Theory Of Pseudogroup Structures written by Victor Guillemin and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1966 with Geometry, Differential categories.
Systems Of Partial Differential Equations And Lie Pseudogroups
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Author : J. F. Pommaret
language : en
Publisher: CRC Press
Release Date : 1978
Systems Of Partial Differential Equations And Lie Pseudogroups written by J. F. Pommaret and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1978 with Mathematics categories.
Deformation Theory Of Algebras And Structures And Applications
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Author : Michiel Hazewinkel
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Deformation Theory Of Algebras And Structures And Applications written by Michiel Hazewinkel and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
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).
Systems Of Linear Partial Differential Equations And Deformation Of Pseudogroups Structures By A Kumpera And D C Spencer
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Author : Antônio Kumpera
language : en
Publisher:
Release Date : 1974
Systems Of Linear Partial Differential Equations And Deformation Of Pseudogroups Structures By A Kumpera And D C Spencer written by Antônio Kumpera and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1974 with Differential equations, Linear categories.
Selecta
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Author : Donald Clayton Spencer
language : en
Publisher: World Scientific
Release Date : 1985
Selecta written by Donald Clayton Spencer and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985 with Mathematics categories.
Lie Equations Vol I
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Author : Antonio Kumpera
language : en
Publisher: Princeton University Press
Release Date : 2016-03-02
Lie Equations Vol I written by Antonio Kumpera and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-03-02 with Mathematics categories.
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.
Lectures On Differential Geometry
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Author : Shlomo Sternberg
language : en
Publisher: American Mathematical Soc.
Release Date : 1999
Lectures On Differential Geometry written by Shlomo Sternberg and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with Mathematics categories.
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.
Jets Derivations And Deformation Of Pseudogroup Structures
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Author : Constantin Neophytos Kockinos
language : en
Publisher:
Release Date : 1974
Jets Derivations And Deformation Of Pseudogroup Structures written by Constantin Neophytos Kockinos and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1974 with Jets (Topology) categories.