Fat Manifolds And Linear Connections
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Fat Manifolds And Linear Connections
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Author :
language : en
Publisher:
Release Date :
Fat Manifolds And Linear Connections written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.
Fat Manifolds And Linear Connections
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Author : Alessandro De Paris
language : en
Publisher: World Scientific
Release Date : 2009
Fat Manifolds And Linear Connections written by Alessandro De Paris and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with Mathematics categories.
The theory of connections is central not only in pure mathematics (differential and algebraic geometry), but also in mathematical and theoretical physics (general relativity, gauge fields, mechanics of continuum media). The now-standard approach to this subject was proposed by Ch. Ehresmann 60 years ago, attracting first mathematicians and later physicists by its transparent geometrical simplicity. Unfortunately, it does not extend well to a number of recently emerged situations of significant importance (singularities, supermanifolds, infinite jets and secondary calculus, etc.). Moreover, it does not help in understanding the structure of calculus naturally related with a connection.In this unique book, written in a reasonably self-contained manner, the theory of linear connections is systematically presented as a natural part of differential calculus over commutative algebras. This not only makes easy and natural numerous generalizations of the classical theory and reveals various new aspects of it, but also shows in a clear and transparent manner the intrinsic structure of the associated differential calculus. The notion of a ?fat manifold? introduced here then allows the reader to build a well-working analogy of this ?connection calculus? with the usual one.
Fat Manifolds And Linear Connections
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Author : Aleksandr Mikha?lovich Vinogradov
language : en
Publisher: World Scientific
Release Date : 2009
Fat Manifolds And Linear Connections written by Aleksandr Mikha?lovich Vinogradov and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with Mathematics categories.
In this unique book, written in a reasonably self-contained manner, the theory of linear connections is systematically presented as a natural part of differential calculus over commutative algebras. This not only makes easy and natural numerous generalizations of the classical theory and reveals various new aspects of it, but also shows in a clear and transparent manner the intrinsic structure of the associated differential calculus. The notion of a OC fat manifoldOCO introduced here then allows the reader to build a well-working analogy of this OC connection calculusOCO with the usual one."
Differentiable Manifolds
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Author : Shiing-Shen Chern
language : en
Publisher:
Release Date : 1959
Differentiable Manifolds written by Shiing-Shen Chern and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1959 with Differentiable manifolds categories.
On Uniformization Of Complex Manifolds
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Author : Robert Clifford Gunning
language : en
Publisher:
Release Date : 1981
On Uniformization Of Complex Manifolds written by Robert Clifford Gunning and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1981 with categories.
Acta Ciencia Indica
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Author :
language : en
Publisher:
Release Date : 1989
Acta Ciencia Indica written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989 with Mathematics categories.
Omega Linear Vector Field Flows On Manifolds
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Author : William Knute Perrizo
language : en
Publisher:
Release Date : 1972
Omega Linear Vector Field Flows On Manifolds written by William Knute Perrizo and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1972 with categories.
Characteristic Classes
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Author : John Willard Milnor
language : en
Publisher: Princeton University Press
Release Date : 1974
Characteristic Classes written by John Willard Milnor 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 1974 with Mathematics categories.
The theory of characteristic classes provides a meeting ground for the various disciplines of differential topology, differential and algebraic geometry, cohomology, and fiber bundle theory. As such, it is a fundamental and an essential tool in the study of differentiable manifolds. In this volume, the authors provide a thorough introduction to characteristic classes, with detailed studies of Stiefel-Whitney classes, Chern classes, Pontrjagin classes, and the Euler class. Three appendices cover the basics of cohomology theory and the differential forms approach to characteristic classes, and provide an account of Bernoulli numbers. Based on lecture notes of John Milnor, which first appeared at Princeton University in 1957 and have been widely studied by graduate students of topology ever since, this published version has been completely revised and corrected.
Foundations Of Differential Geometry
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Author : Shōshichi Kobayashi
language : en
Publisher:
Release Date : 1963
Foundations Of Differential Geometry written by Shōshichi Kobayashi and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1963 with Geometry, Differential categories.
Symplectic Manifolds With No Kaehler Structure
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Author : Alesky Tralle
language : en
Publisher: Lecture Notes in Mathematics
Release Date : 1997-07-17
Symplectic Manifolds With No Kaehler Structure written by Alesky Tralle and has been published by Lecture Notes in Mathematics this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-07-17 with Mathematics categories.
This is a research monograph covering the majority of known results on the problem of constructing compact symplectic manifolds with no Kaehler structure with an emphasis on the use of rational homotopy theory. In recent years, some new and stimulating conjectures and problems have been formulated due to an influx of homotopical ideas. Examples include the Lupton-Oprea conjecture, the Benson-Gordon conjecture, both of which are in the spirit of some older and still unsolved problems (e.g. Thurston's conjecture and Sullivan's problem). Our explicit aim is to clarify the interrelations between certain aspects of symplectic geometry and homotopy theory in the framework of the problems mentioned above. We expect that the reader is aware of the basics of differential geometry and algebraic topology at graduate level.