Geometry, dynamics, and topology of foliations : a first course / Bruno Scardua, Federal University of Rio de Janeiro, Brazil, Carlos Arnoldo Morales Rojas, Federal University of Rio de Janeiro, Brazil).

Format:

Book

Author/Creator:

Scárdua, Bruno.

Contributor:

Rojas, Carlos Arnoldo Morales.

Rosengarten Family Fund.

Language:

English

Subjects (All):

Foliations (Mathematics).

Differential topology.

Physical Description:

xiii, 179 pages ; 24 cm

Place of Publication:

New Jersey : World Scientific, [2017]

Summary:

The geometric theory of foliations is one of the fields in mathematics that gathers several distinct domains: topology, dynamical systems, differential topology and geometry, among others. Containing material dating from the origins of the theory of foliations, this volume also brings readers to the heart of recent results in the field.

Contents:

Preliminaries

Plane fields and foliations

Topology of the leaves

Holonomy and stability

Haefliger's theorem

Novikov's compact leaf

Rank of 3-manifolds

Tischler's theorem

Plante's compact leaf theorem

Currents, distributions, foliation cycles and transverse measures

Foliation cycles : a homological proof of Novikov's compact leaf theorem

Appendis A : Structure of codimension one foliations : Dippolito's theory.

Notes:

Includes bibliographical references and index.

Local Notes:

Acquired for the Penn Libraries with assistance from the Rosengarten Family Fund.

ISBN:

9789813207073

9813207078

OCLC:

967774967

Publisher Number:

99996447995