The Index Theorem For Minimal Surfaces Of Higher Genus
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The Index Theorem For Minimal Surfaces Of Higher Genus
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Author : Friedrich Tomi
language : en
Publisher: American Mathematical Soc.
Release Date : 1995
The Index Theorem For Minimal Surfaces Of Higher Genus written by Friedrich Tomi 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 1995 with Mathematics categories.
In this paper we formulate and prove an index theorem for minimal surfaces of higher topological type spanning one boundary contour. Our techniques carry over to surfaces with several boundary contours as well as to unoriented surfaces.
The Index Theorem For Minimal Surfaces Of Higher Genus
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Author : Friedrich Tomi
language : en
Publisher:
Release Date : 1995
The Index Theorem For Minimal Surfaces Of Higher Genus written by Friedrich Tomi and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with Index theorems categories.
Global Analysis Of Minimal Surfaces
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Author : Ulrich Dierkes
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-08-16
Global Analysis Of Minimal Surfaces written by Ulrich Dierkes 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 2010-08-16 with Mathematics categories.
Many properties of minimal surfaces are of a global nature, and this is already true for the results treated in the first two volumes of the treatise. Part I of the present book can be viewed as an extension of these results. For instance, the first two chapters deal with existence, regularity and uniqueness theorems for minimal surfaces with partially free boundaries. Here one of the main features is the possibility of "edge-crawling" along free parts of the boundary. The third chapter deals with a priori estimates for minimal surfaces in higher dimensions and for minimizers of singular integrals related to the area functional. In particular, far reaching Bernstein theorems are derived. The second part of the book contains what one might justly call a "global theory of minimal surfaces" as envisioned by Smale. First, the Douglas problem is treated anew by using Teichmüller theory. Secondly, various index theorems for minimal theorems are derived, and their consequences for the space of solutions to Plateau ́s problem are discussed. Finally, a topological approach to minimal surfaces via Fredholm vector fields in the spirit of Smale is presented.
Lebesgue Theory In The Bidual Of C X
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Author : Samuel Kaplan
language : en
Publisher: American Mathematical Soc.
Release Date : 1996
Lebesgue Theory In The Bidual Of C X written by Samuel Kaplan 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 1996 with Mathematics categories.
The present work is based upon our monograph "The Bidual of [italic capital]C([italic capital]X)" ([italic capital]X being compact). We generalize to the bidual the theory of Lebesgue integration, with respect to Radon measures on [italic capital]X, of bounded functions. The bidual of [italic capital]C([italic capital]X) contains this space of bounded functions, but is much more 'spacious', so the body of results can be expected to be richer. Finally, we show that by projection onto the space of bounded functions, the standard theory is obtained.
Reductive Subgroups Of Exceptional Algebraic Groups
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Author : Martin W. Liebeck
language : en
Publisher: American Mathematical Soc.
Release Date : 1996
Reductive Subgroups Of Exceptional Algebraic Groups written by Martin W. Liebeck 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 1996 with Mathematics categories.
The theory of simple algebraic groups is important in many areas of mathematics. The authors of this book investigate the subgroups of certain types of simple algebraic groups and obtain a complete description of all those subgroups which are themselves simple. This description is particularly useful in understanding centralizers of subgroups and restrictions of representations.
Generalized Minkowski Content Spectrum Of Fractal Drums Fractal Strings And The Riemann Zeta Functions
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Author : Christina Q. He
language : en
Publisher: American Mathematical Soc.
Release Date : 1997
Generalized Minkowski Content Spectrum Of Fractal Drums Fractal Strings And The Riemann Zeta Functions written by Christina Q. He 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 1997 with Mathematics categories.
This memoir provides a detailed study of the effect of non power-like irregularities of (the geometry of) the fractal boundary on the spectrum of "fractal drums" (and especially of "fractal strings"). In this work, the authors extend previous results in this area by using the notionof generalized Minkowski content which is defined through some suitable "gauge functions" other than power functions. (This content is used to measure the irregularity (or "fractality") of the boundary of an open set in R]n by evaluating the volume of its small tubular neighborhoods). In the situation when the power function is not the natural "gauge function", this enables the authors to obtain more precise estimates, with a broader potential range of applications than in previous papers of the second author and his collaborators. This text will also be of interest to those working in mathematical physics.
Canard Cycles And Center Manifolds
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Author : Freddy Dumortier
language : en
Publisher: American Mathematical Soc.
Release Date : 1996
Canard Cycles And Center Manifolds written by Freddy Dumortier 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 1996 with Mathematics categories.
In this book, the ``canard phenomenon'' occurring in Van der Pol's equation $\epsilon \ddot x+(x^2+x)\dot x+x-a=0$ is studied. For sufficiently small $\epsilon >0$ and for decreasing $a$, the limit cycle created in a Hopf bifurcation at $a = 0$ stays of ``small size'' for a while before it very rapidly changes to ``big size'', representing the typical relaxation oscillation. The authors give a geometric explanation and proof of this phenomenon using foliations by center manifolds and blow-up of unfoldings as essential techniques. The method is general enough to be useful in the study of other singular perturbation problems.
Decision Problems For Equational Theories Of Relation Algebras
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Author : H. Andréka
language : en
Publisher: American Mathematical Soc.
Release Date : 1997
Decision Problems For Equational Theories Of Relation Algebras written by H. Andréka 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 1997 with Mathematics categories.
"We prove that any variety of relation algebras which contains an algebra with infinitely many elements below the identity, or which contains the full group relation algebra on some infinite group (or on arbitrarily large finite groups), must have an undecidable equational theory. Then we construct an embedding of the lattice of all subsets of the natural numbers into the lattice of varieties of relation algebras such that the variety correlated with a set [italic capital]X of natural numbers has a decidable equational theory if and only if [italic capital]X is a decidable (i.e., recursive) set. Finally, we construct an example of an infinite, finitely generated, simple, representable relation algebra that has a decidable equational theory.'' -- Abstract.
Factorizing The Classical Inequalities
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Author : Grahame Bennett
language : en
Publisher: American Mathematical Soc.
Release Date : 1996
Factorizing The Classical Inequalities written by Grahame Bennett 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 1996 with Mathematics categories.
This memoir describes a new way of looking at the classical inequalities. The most famous such results, (those of Hilbert, Hardy, and Copson) may be interpreted as inclusion relationships, l[superscript italic]p [subset equality symbol] [italic capital]Y, between certain (Banach) sequence spaces, the norm of the injection being the best constant of the particular inequality. The inequalities of Hilbert, Hardy, and Copson all share the same space [italic capital]Y. That space -- alias [italic]ces([italic]p) -- is central to many celebrated inequalities, and thus is studied here in considerable detail.
Classification Of Simple C Algebras Inductive Limits Of Matrix Algebras Over Trees
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Author : Liangqing Li
language : en
Publisher: American Mathematical Soc.
Release Date : 1997
Classification Of Simple C Algebras Inductive Limits Of Matrix Algebras Over Trees written by Liangqing Li 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 1997 with Mathematics categories.
In this paper, it is shown that the simple unital C*-algebras arising as inductive limits of sequences of finite direct sums of matrix algebras over [italic capital]C([italic capital]X[subscript italic]i), where [italic capital]X[subscript italic]i are arbitrary variable trees, are classified by K-theoretical and tracial data. This result generalizes the result of George Elliott of the case of [italic capital]X[subscript italic]i = [0, 1]. The added generality is useful in the classification of more general inductive limit C*-algebras.