Geometry And Topology

Download Intelligence of low dimensional topology 2006: Hiroshima, by J. Scott Carter, Seiichi Kamada, Louis H. Kauffman, Akio PDF

By J. Scott Carter, Seiichi Kamada, Louis H. Kauffman, Akio Kawauchi, Toshitake Kohno

This quantity gathers the contributions from the foreign convention "Intelligence of Low Dimensional Topology 2006," which happened in Hiroshima in 2006. the purpose of this quantity is to advertise learn in low dimensional topology with the focal point on knot conception and similar themes. The papers contain finished stories and a few newest effects.

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Download Grassmannians and Gauss Maps in Piecewise-Linear and by Norman Levitt PDF

By Norman Levitt

The booklet explores the potential of extending the notions of "Grassmannian" and "Gauss map" to the PL type. they're exceptional from "classifying area" and "classifying map" that are basically homotopy-theoretic notions. The analogs of Grassmannian and Gauss map outlined comprise geometric and combinatorial details. crucial purposes contain attribute category concept, smoothing concept, and the life of immersion satifying yes geometric standards, e.g. curvature stipulations. The e-book assumes wisdom of uncomplicated differential topology and package thought, together with Hirsch-Gromov-Phillips thought, in addition to the analogous theories for the PL classification. The paintings will be of curiosity to mathematicians desirous about geometric topology, PL and PD features of differential geometry and the geometry of polyhedra.

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Download Differential geometry, global analysis, and topology: Proc. by A. Nicas, W. F. Shadwick PDF

By A. Nicas, W. F. Shadwick

This ebook includes the court cases of a distinct consultation on differential geometry, worldwide research, and topology, held in the course of the summer time assembly of the Canadian Mathematical Society in June 1990 at Dalhousie college in Halifax. The consultation featured many desirable talks on issues of present curiosity. The articles gathered right here mirror the varied pursuits of the contributors yet are united through the typical subject of the interaction between geometry, worldwide research, and topology. a number of the themes contain purposes to low dimensional manifolds, keep watch over idea, integrable platforms, Lie algebras of operators, and algebraic geometry. Readers will enjoy the perception the publication presents into a few contemporary traits in those components.

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Download Actes de la Table ronde de geometrie differentielle: En by Arthur L. Besse (Ed.) PDF

By Arthur L. Besse (Ed.)

Résumé :
En juillet 1992, une desk Ronde de Géométrie Différentielle s'est tenue au CIRM de Luminy en l'honneur de Marcel Berger. Les conférences qui sont reproduites dans ces Actes recouvrent los angeles plupart des sujets abordés par Marcel Berger en Géométrie Différentielle et plus précisément : l'holonomie (Bryant), los angeles courbure [courbure sectionnelle confident (Grove), courbure sectionnelle négative (Abresch et Schroeder, Ballmann et Ledrappier), courbure de Ricci négative (Lohkamp), courbure scalaire (Delanoë, Hebey et Vaugon), courbure totale (Shioya)], le spectre du laplacien (Anné, Colin de Verdière, Matheus, Pesce), les inégalités isopérimétriques et les systoles (Calabi, Carron, Gromov), ainsi que quelques sujets annexes [espaces d'Alexandrov (Shiohama et Tanaka, Yamaguchi), elastica (Koiso), géométrie sous-riemannienne (Valère et Pelletier)]. Les auteurs sont pour los angeles plupart des géomètres confirmés, dont plusieurs ont travaillé avec Marcel Berger, mais aussi quelques jeunes. Plusieurs articles (Bryant, Colin, Grove...) contiennent une présentation synthétique des résultats récents dans le domaine concerné, pour mieux les rendre obtainable à un public de non-spécialistes.

Abstract:
Proceedings of the around desk in Differential Geometry in honour of Marcel Berger
July 1992, a around desk in Differential Geometry was once prepared on the CIRM in Luminy (France) in honour of Marcel Berger. In those court cases, contributions conceal lots of the fields studied by way of Marcel Berger in Differential Geometry, specifically : holonomy (Bryant), curvature [positive sectional curvature (Grove), destructive sectional curvature (Abresch and Schroeder, Ballmann and Ledrappier), unfavorable Ricci curvature (Lohkamp), scalar curvature (Delanoë, Hebey and Vaugon), overall curvature (Shioya)], spectrum of the Laplacian (Anné, Colin de Verdière, Matheus, Pesce), isoperimetric and isosystolic inequalities (Calabi, Carron, Gromov), including a few comparable topics [Alexandrov areas (Shiohama and Tanaka, Yamaguchi), elastica (Koiso), subriemannian geometry (Valère and Pelletier)]. Authors are more often than not geometers who labored with Marcel Berger at it slow, and in addition a few more youthful ones. a few papers (Bryant, Colin, Grove...) comprise a quick evaluation of contemporary ends up in their specific fields, with the non-experts in brain.

1. time table of the Mathematical talks given on the around Table

Lundi thirteen juillet 1992

K. GROVE : not easy and tender sphere theorems
T. YAMAGUCHI : A convergence theorem for Alexandrov spaces
J. LOKHAMP : Curvature h-principles
G. ROBERT : Pinching theorems below necessary speculation for curvature

Mardi 14 juillet 1992

Y. COLIN DE VERDIERE : Spectre et topologie
H. PESCE : Isospectral nilmanifolds
F. MATHEUS : Circle packings and conformal approximation
R. MICHEL : From warmth equation to Hamilton-Jacobi equation
C. ANNE : Formes diff´erentielles sur les vari´et´es avec des anses fines
G. CARRON : In´egalit´e isop´erim´etrique de Faber-Krahn

Mercredi 15 juillet 1992

E. CALABI : in the direction of extremal metrics for isosystolic inequality for closed orientable
surfaces with genus > 1
M. GROMOV : Isosystols
Ch. CROKE : Which Riemannian manifolds are made up our minds via their geodesic flows

Jeudi sixteen juillet 1992

R. BRYANT : Classical, remarkable and unique holonomies : a standing report
T. SHIOYA : habit of maximal geodesics in Riemannian planes
L. VALERE-BOUCHE : Geodesics in subriemannian singular geometry and control
theory
D. GROMOLL : confident Ricci curvature : a few contemporary developements
Ph. DELANOE : Ni’s thesis revisited
E. HEBEY : From the Yamabe challenge to the equivariant Yamabe problem
Vendredi 17 juillet 1992
W. BALLMANN : Brownian movement, Harmonic capabilities and Martin boundary
U. ABRESCH : Graph manifolds, ends of negatively curved areas and the hyperbolic
120-cell space
N. KOISO : Elastica
Jerry KAZDAN : Why a few differential equations haven't any solutions
J. P. BOURGUIGNON : challenge session

2. at the contributions

Among the above pointed out meetings, 5 usually are not reproduced in those notes,
namely these via Christopher CROKE, Detlef GROMOLL, Jerry KAZDAN, Ren´e
MICHEL and Gilles ROBERT.

Some of them were released in other places, specifically :

CROKE, KLEINER :
Conjugacy and stress for manifolds with a parallel vector field
J. Differential Geom. 39 (1994), 659-680.
LE COUTURIER, ROBERT :
Lp pinching and the geometry of compact Riemannian manifolds
Comment. Math. Helvetici sixty nine (1994), 249-271.
On the opposite hand, Professor SHIOHAMA, who was once invited to provide a conversation, had
not been capable of come to the desk Ronde. He sought after however to provide a
contribution to Marcel Berger. it's been additional to this quantity.

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