Manifolds of Differentiable Mappings PDF Download
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Author: Peter W. Michor
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 176
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Book Description
Author: Peter W. Michor
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 176
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Book Description
Author: Shiing-Shen Chern
Publisher:
ISBN:
Category : Differentiable manifolds
Languages : en
Pages : 198
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Book Description
Author: Louis Auslander
Publisher: Courier Dover Publications
ISBN: 9780486471723
Category : Differentiable manifolds
Languages : en
Pages : 0
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Book Description
Thistext presents basic concepts in the modern approach to differential geometry. Topics include Euclidean spaces, submanifolds, and abstract manifolds;fundamental concepts of Lie theory; fiber bundles; and multilinear algebra.1963 edition."
Author: Piotr Hajłasz
Publisher: American Mathematical Soc.
ISBN: 0821840797
Category : Mathematics
Languages : en
Pages : 88
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Book Description
The authors study Sobolev classes of weakly differentiable mappings $f: {\mathbb X}\rightarrow {\mathbb Y}$ between compact Riemannian manifolds without boundary. These mappings need not be continuous. They actually possess less regularity than the mappings in ${\mathcal W}{1, n}({\mathbb X}\, \, {\mathbb Y})\, $, $n=\mbox{dim}\, {\mathbb X}$. The central themes being discussed a
Author: Serge Lang
Publisher:
ISBN:
Category : Differentiable manifolds
Languages : en
Pages : 244
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Book Description
Author: Serge Lang
Publisher: Springer Science & Business Media
ISBN: 038721772X
Category : Mathematics
Languages : en
Pages : 250
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Book Description
Author is well-known and established book author (all Serge Lang books are now published by Springer); Presents a brief introduction to the subject; All manifolds are assumed finite dimensional in order not to frighten some readers; Complete proofs are given; Use of manifolds cuts across disciplines and includes physics, engineering and economics
Author: John Willard Milnor
Publisher: Princeton University Press
ISBN: 9780691048338
Category : Mathematics
Languages : en
Pages : 80
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Book Description
This elegant book by distinguished mathematician John Milnor, provides a clear and succinct introduction to one of the most important subjects in modern mathematics. Beginning with basic concepts such as diffeomorphisms and smooth manifolds, he goes on to examine tangent spaces, oriented manifolds, and vector fields. Key concepts such as homotopy, the index number of a map, and the Pontryagin construction are discussed. The author presents proofs of Sard's theorem and the Hopf theorem.
Author: Georges de Rham
Publisher: Springer Science & Business Media
ISBN: 3642617522
Category : Mathematics
Languages : en
Pages : 178
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Book Description
In this work, I have attempted to give a coherent exposition of the theory of differential forms on a manifold and harmonic forms on a Riemannian space. The concept of a current, a notion so general that it includes as special cases both differential forms and chains, is the key to understanding how the homology properties of a manifold are immediately evident in the study of differential forms and of chains. The notion of distribution, introduced by L. Schwartz, motivated the precise definition adopted here. In our terminology, distributions are currents of degree zero, and a current can be considered as a differential form for which the coefficients are distributions. The works of L. Schwartz, in particular his beautiful book on the Theory of Distributions, have been a very great asset in the elaboration of this work. The reader however will not need to be familiar with these. Leaving aside the applications of the theory, I have restricted myself to considering theorems which to me seem essential and I have tried to present simple and complete of these, accessible to each reader having a minimum of mathematical proofs background. Outside of topics contained in all degree programs, the knowledge of the most elementary notions of general topology and tensor calculus and also, for the final chapter, that of the Fredholm theorem, would in principle be adequate.
Author: P. Hajlasz
Publisher:
ISBN:
Category :
Languages : en
Pages : 105
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Book Description
Author:
Publisher: Academic Press
ISBN: 0080874398
Category : Mathematics
Languages : en
Pages : 447
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Book Description
An Introduction to Differentiable Manifolds and Riemannian Geometry
