Web theory and related topics

Joseph Grifone, Eliane Salem

236 pages, parution le 06/12/2001

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Résumé

This book provides an overview of recent developments in web theory. Webs (i.e. families of foliations in general position) appear in many different fields of mathematics (differential geometry, algebraic geometry, differential equations, symplectic geometry, etc.) and physics (mechanics, geometrical optics, etc.). After giving a survey on webs in differential geometry and algebraic geometry, the book presents new results on partial differential equations, integrable systems, holomorphic dynamics and nonlinear optics obtained through web theory.

Table of Contents

A Naïve Guide to Web Geometry (I Nakai)
An Introduction to Web Geometry: Analytic Web Geometry (A Hénaut)
Webs and Curvature (P T Nagy)
Recent Developments: Conformal Flows on C,₀ and Hexagonal 3-Webs (M Belliart et al.)
Rigidity of Webs (J-P Dufour)
Resonant Geometric Optics and Webs (J-L Joly et al.)
Introduction to G-Structures via Three Examples (J M Landsberg)
Web Geometry and the Equivalence Problem of the First Order Partial Differential Equations (I Nakai)
Veronese Webs and Transversally Veronese Foliations (M-H Rigal)
A Three-Dimensional Lagrangian Four-Web with No Abelian Relation (G F Robert)

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Caractéristiques techniques

	PAPIER
Éditeur(s)	World Scientific
Auteur(s)	Joseph Grifone, Eliane Salem
Parution	06/12/2001
Nb. de pages	236
Format	15,5 x 22,3
Couverture	Relié
Poids	310g
Intérieur	Noir et Blanc
EAN13	9789810246044