Confoliations

Confoliations This book presents the first steps of a theory of confoliations designed to link geometry and topology of three dimensional contact structures with the geometry and topology of codimension one foliati

  • Title: Confoliations
  • Author: Yakov Eliashberg William P. Thurston
  • ISBN: 9780821807767
  • Page: 482
  • Format: Hardcover
  • This book presents the first steps of a theory of confoliations designed to link geometry and topology of three dimensional contact structures with the geometry and topology of codimension one foliations on three dimensional manifolds Developing almost independently, these theories at first glance belonged to two different worlds The theory of foliations is part of topolThis book presents the first steps of a theory of confoliations designed to link geometry and topology of three dimensional contact structures with the geometry and topology of codimension one foliations on three dimensional manifolds Developing almost independently, these theories at first glance belonged to two different worlds The theory of foliations is part of topology and dynamical systems, while contact geometry is the odd dimensional brother of symplectic geometry However, both theories have developed a number of striking similarities Confoliations which interpolate between contact structures and codimension one foliations should help us to understand better links between the two theories These links provide tools for transporting results from one field to the other.

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