Read e-book online Radon Transforms and the Rigidity of the Grassmannians PDF

By Jacques Gasqui,Hubert Goldschmidt

ISBN-10: 0691118981

ISBN-13: 9780691118987

ISBN-10: 069111899X

ISBN-13: 9780691118994

This ebook presents the 1st unified exam of the connection among Radon transforms on symmetric areas of compact variety and the infinitesimal types of 2 basic pressure difficulties in Riemannian geometry. Its fundamental concentration is the spectral stress challenge: Can the metric of a given Riemannian symmetric house of compact variety be characterised by way of the spectrum of its Laplacian? It additionally addresses a query rooted within the Blaschke challenge: Is a Riemannian metric on a projective house whose geodesics are all closed and of a similar size isometric to the canonical metric?

The authors comprehensively deal with the implications referring to Radon transforms and the infinitesimal models of those difficulties. Their major outcome signifies that such a lot Grassmannians are spectrally inflexible to the 1st order. this can be relatively very important, for there are nonetheless few isospectrality effects for definitely curved areas and those are the 1st such effects for symmetric areas of compact form of rank >1. The authors take advantage of the speculation of overdetermined partial differential equations and harmonic research on symmetric areas to supply standards for infinitesimal stress that observe to a wide classification of spaces.

an excessive amount of easy fabric approximately Riemannian geometry, symmetric areas, and Radon transforms is incorporated in a transparent and stylish presentation that would be worthy to researchers and complex scholars in differential geometry.

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The Gelfand Mathematics Seminars, 1993 - 1995 - download pdf or read online

By I.M. Gelfand,James Lepowsky,Mikhail M. Smirnov

ISBN-10: 0817638164

ISBN-13: 9780817638160

The Seminar has taken position at Rutgers college in New Brunswick, New Jersey, due to the fact that 1990 and it has turn into a practice, beginning in 1992, that the Seminar be held in the course of July at IHES in Bures-sur-Yvette, France. this is often the second one Gelfand Seminar quantity released through Birkhauser, the 1st having coated the years 1990-1992. lots of the papers during this quantity end result from Seminar talks at Rutgers, and a few from talks at IHES. relating to the various papers the authors didn't attend, however the papers are within the spirit of the Seminar. this is often actual particularly of V. Arnold's paper. He has been hooked up with the Seminar for therefore decades that his paper is especially normal during this quantity, and we're chuffed to have it incorporated right here. we are hoping that many folks will locate anything of curiosity to them within the detailed variety of subject matters and the individuality of spirit represented right here. The e-book of this quantity will be very unlikely with no the dedicated consciousness of Ann Kostant. we're tremendous thankful to her. I. Gelfand J. Lepowsky M. Smirnov Questions and solutions approximately Geometric Evolution methods and Crystal development Fred Almgren We talk about evolutions of solids pushed by way of boundary curvatures and crystal progress with Gibbs-Thomson curvature results. Geometric degree theo­ retic options observe either to delicate elliptic floor energies and to non­ differentiable crystalline floor energies.

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Download e-book for iPad: Blow-up Theory for Elliptic PDEs in Riemannian Geometry by Olivier Druet,Emmanuel Hebey,Frédéric Robert

By Olivier Druet,Emmanuel Hebey,Frédéric Robert

ISBN-10: 0691119538

ISBN-13: 9780691119533

Elliptic equations of serious Sobolev progress were the objective of research for many years simply because they've got proved to be of serious significance in research, geometry, and physics. The equations studied listed below are of the well known Yamabe kind. They contain Schrödinger operators at the left hand aspect and a severe nonlinearity at the correct hand side.

an important improvement within the examine of such equations happened within the Nineteen Eighties. It was once came upon that the series splits right into a answer of the restrict equation--a finite sum of bubbles--and a relaxation that converges strongly to 0 within the Sobolev area together with sq. integrable capabilities whose gradient can be sq. integrable. This splitting is called the crucial idea for blow-up. during this e-book, the authors improve the pointwise concept for blow-up. They introduce new rules and strategies that bring about sharp pointwise estimates. those estimates have vital functions while facing sharp consistent difficulties (a case the place the strength is minimum) and compactness effects (a case the place the power is arbitrarily large). The authors conscientiously and carefully describe pointwise habit whilst the strength is arbitrary.

meant to be as self-contained as attainable, this obtainable publication will curiosity graduate scholars and researchers in quite a number mathematical fields.

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Read e-book online Standard Monomial Theory: Invariant Theoretic Approach: 137 PDF

By V. Lakshmibai,K. N. Raghavan

ISBN-10: 3540767568

ISBN-13: 9783540767565

ISBN-10: 3642095437

ISBN-13: 9783642095436

Schubert forms supply an inductive software for learning flag types. This publication is principally a close account of a very fascinating example in their incidence: particularly, when it comes to classical invariant concept. extra accurately, it's in regards to the connection among the 1st and moment primary theorems of classical invariant idea at the one hand and conventional monomial thought for Schubert forms in sure distinct flag forms at the different.

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Stable Homotopy Around the Arf-Kervaire Invariant: 273 - download pdf or read online

By Victor P. Snaith

ISBN-10: 3764399031

ISBN-13: 9783764399030

have been I to take an iron gun, And ?re it o? in the direction of the solar; I supply ‘twould achieve its mark finally, yet no longer until eventually a long time had handed. yet may still that bullet switch its strength, And to the planets take its path, ‘Twould by no means achieve the closest big name, since it is so very a long way. from evidence through Lewis Carroll [55] enable me start by way of describing the 2 reasons which caused me to write down this monograph. this can be a ebook approximately algebraic topology and extra specifically approximately homotopy concept. because the inception of algebraic topology [217] the learn of homotopy sessions of constant maps among spheres has loved a really exc- n n tional, vital function. As is widely known, for homotopy periods of maps f : S ?? S with n? 1 the only homotopy invariant is the measure, which characterises the homotopy category thoroughly. the hunt for a continual map among spheres of di?erent dimensions and never homotopic to the consistent map needed to stay up for its solution till the awesome paper of Heinz Hopf [111]. on reflection, ?nding three an instance was once really effortless simply because there's a canonical quotient map from S to three 1 1 2 theorbitspaceofthe freecircleactionS /S =CP = S .

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Get Affine Flag Manifolds and Principal Bundles (Trends in PDF

By Alexander Schmitt

ISBN-10: 3034602871

ISBN-13: 9783034602877

ISBN-10: 3034803095

ISBN-13: 9783034803090

Affine flag manifolds are countless dimensional models of generic gadgets corresponding to Graßmann forms. The ebook positive factors lecture notes, survey articles, and study notes - according to workshops held in Berlin, Essen, and Madrid - explaining the importance of those and similar items (such as double affine Hecke algebras and affine Springer fibers) in illustration conception (e.g., the idea of symmetric polynomials), mathematics geometry (e.g., the basic lemma within the Langlands program), and algebraic geometry (e.g., affine flag manifolds as parameter areas for significant bundles). Novel facets of the idea of crucial bundles on algebraic types also are studied within the book.

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Download e-book for kindle: Spherical Tube Hypersurfaces (Lecture Notes in Mathematics) by Alexander Isaev

By Alexander Isaev

ISBN-10: 3642197825

ISBN-13: 9783642197826

We think about Levi non-degenerate tube hypersurfaces in advanced linear house that are "spherical", that's, in the community CR-equivalent to the true hyperquadric. round hypersurfaces are characterised through the of the vanishing of the CR-curvature shape, so such hypersurfaces are flat from the CR-geometric perspective. nevertheless, such hypersurfaces are of curiosity from the viewpoint of affine geometry. therefore our therapy of round tube hypersurfaces during this booklet is two-fold: CR-geometric and affine-geometric. round tube hypersurfaces end up to own awesome houses. for instance, each such hypersurface is real-analytic and extends to a closed real-analytic round tube hypersurface in complicated area. one in every of our major targets is to offer an specific affine type of closed round tube hypersurfaces at any time when attainable. during this booklet we provide a complete exposition of the speculation of round tube hypersurfaces beginning with the belief proposed within the pioneering paintings by means of P. Yang (1982) and finishing with the recent process because of G. Fels and W. Kaup (2009).

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Download e-book for iPad: Introduction to Homotopy Theory (Universitext) by Martin Arkowitz

By Martin Arkowitz

ISBN-10: 1441973281

ISBN-13: 9781441973283

it is a booklet in natural arithmetic facing homotopy conception, one of many major branches of algebraic topology. The important themes are as follows: uncomplicated Homotopy; H-spaces and co-H-spaces; fibrations and cofibrations; special sequences of homotopy units, activities, and coactions; homotopy pushouts and pullbacks; classical theorems, together with these of Serre, Hurewicz, Blakers-Massey, and Whitehead; homotopy units; homotopy and homology decompositions of areas and maps; and obstruction idea. The underlying subject matter of the whole e-book is the Eckmann-Hilton duality thought. it really is assumed that the reader has had a few publicity to the rudiments of homology thought and basic staff conception. those issues are mentioned within the appendices. The booklet can be utilized as a textual content for the second one semester of a complicated ungraduate or graduate algebraic topology course.

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Download e-book for iPad: The food of the Polygon 2: Mathematics is your food by Temitope James

By Temitope James

ISBN-10: 1536817678

ISBN-13: 9781536817676

The e-book "Mathematics is your nutrition" involves a subject of basic foundation of its power and effort to extend your wisdom on the time the learn of arithmetic. The e-book is a hugely selective scope designed to instill wisdom of arithmetic at you and advance the tutorial lifetime of a pupil. The books are written in additional than forty diversified easy mathematical themes which are necessary for kids, scholars and consumers to reach arithmetic schooling of every inner and exterior. additionally, the publication is interpreted in French, German, Spanish and Italian. each one subject includes volumes (The targets and theories)
The identify of this booklet is a fabricated from the flavour of arithmetic. Make this e-book in your companion to unravel each one subject and discover ways to resolve questions with supervision or on your own. study the ideas of solution of questions and solution them easily.
This publication definitely fit your wishes within the pursuit of information and realizing of arithmetic. "Mathematics is your nutrients" is a robust conviction for critical scholars of arithmetic who desired to bring up the ability and power of the answer of concerns in strict arithmetic. purchase the booklet and revel in the flavour of mathematics

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Lectures on Clifford (Geometric) Algebras and Applications by Rafal Ablamowicz,Garret Sobczyk PDF

By Rafal Ablamowicz,Garret Sobczyk

ISBN-10: 0817632573

ISBN-13: 9780817632571

The topic of Clifford (geometric) algebras bargains a unified algebraic framework for the direct expression of the geometric concepts in algebra, geometry, and physics. This bird's-eye view of the discipline is gifted via six of the world's best specialists within the box; it features an introductory bankruptcy on Clifford algebras, via broad explorations in their purposes to physics, desktop technology, and differential geometry. The book is perfect for graduate scholars in arithmetic, physics, and computing device technological know-how; it really is appropriate both for beginners who have little previous wisdom of the sphere and professionals who desire to continue abreast of the most recent applications.

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