Web theory and related topics / edited by Joseph Grifone, Eliane Salem.

Format:

Book

Contributor:

Grifone, J.

Salem, Eliane.

Language:

English

Subjects (All):

Webs (Differential geometry).

Geometry, Differential.

Physical Description:

1 online resource (244 p.)

Edition:

1st ed.

Place of Publication:

Singapore ; River Edge, New Jersey : World Scientific, c2001.

Language Note:

English

Summary:

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. Contents: A Naïve Guide to Web Geometry (I Nakai

Contents:

Preface; CONTENTS; A Naive Guide to Web Geometry; An Introduction to Web Geometry; Analytic Web Geometry; Webs and Curvature; Recent Developments; Conformal Flows on Co and Hexagonal 3-Webs; Rigidity of Webs; Resonant Geometric Optics and Webs; Introduction to G-Structures via Three Examples; Web Geometry and the Equivalence Problem of the First Order Partial Differential Equations; Veronese Webs and Transversally Veronese Foliations; A Three-Dimensional Lagrangian Four-Web with No Abelian Relation

Notes:

Description based upon print version of record.

Includes bibliographical references.

ISBN:

9786611934521

9781281934529

1281934526

9789812794581

9812794581

OCLC:

815752335