Topology of foliations : an introduction

著者

• 田村, 一郎 タムラ, イチロウ

書誌事項

Topology of foliations : an introduction

Itiro Tamura ; translated by Kiki Hudson

（Translations of mathematical monographs, v. 97）

American Mathematical Society, c1992

• : softcover

タイトル別名

Yousou no toporojii

Yōsō no toporojī

葉層のトポロジー

注記

Translation of: 葉層のトポロジー

Includes bibliographical references and index

内容説明・目次

巻冊次

: softcover ISBN 9780821842003

内容説明

This book provides historical background and a complete overview of the qualitative theory of foliations and differential dynamical systems. Senior mathematics majors and graduate students with background in multivariate calculus, algebraic and differential topology, differential geometry, and linear algebra will find this book an accessible introduction. Upon finishing the book, readers will be prepared to take up research in this area. Readers will appreciate the book for its highly visual presentation of examples in low dimensions. The author focuses particularly on foliations with compact leaves, covering all the important basic results. Specific topics covered include: dynamical systems on the torus and the three-sphere, local and global stability theorems for foliations, the existence of compact leaves on three-spheres, and foliated cobordisms on three-spheres. Also included is a short introduction to the theory of differentiable manifolds.

目次

• Nonsingular dynamical systems on the torus
• $Cr$ manifolds and tangent spaces
• Dynamical systems and limit sets
• Foliations
• Stability theorems on foliations
• The existence of compact leaves
• Foliations and differential forms
• Cobordisms of foliations
• Appendices
• Translator's afterword
• Subject index
• Nonsingular dynamical systems on the torus
• $Cr$ manifolds and tangent spaces
• Dynamical systems and limit sets
• Foliations
• Stability theorems on foliations
• The existence of compact leaves
• Foliations and differential forms
• Cobordisms of foliations
• Appendices
• Translator's afterword
• Subject index

巻冊次

ISBN 9780821845431

内容説明

This book provides historical background and a complete overview of the qualitative theory of foliations and differential dynamical systems. Senior mathematics majors and graduate students with background in multivariate calculus, algebraic and differential topology, differential geometry, and linear algebra will find this book an accessible introduction. Upon finishing the book, readers will be prepared to take up research in this area. Readers will appreciate the book for its highly visual presentation of examples in low dimensions. The author focuses particularly on foliations with compact leaves, covering all the important basic results. Specific topics covered include: dynamical systems on the torus and the three-sphere, local and global stability theorems for foliations, the existence of compact leaves on three-spheres, and foliated cobordisms on three-spheres. Also included is a short introduction to the theory of differentiable manifolds.

目次

Nonsingular dynamical systems on the torus $C^r$ manifolds and tangent spaces Dynamical systems and limit sets Foliations Stability theorems on foliations The existence of compact leaves Foliations and differential forms Cobordisms of foliations.

「Nielsen BookData」 より

詳細情報

• NII書誌ID(NCID): BA14199616
• ISBN:
  • 0821845438
  • 0821842005
• LCCN: 91037135
• 出版国コード: us
• タイトル言語コード: eng
• 本文言語コード: eng
• 原本言語コード: jpn
• 出版地: Providence, R.I.
• ページ数/冊数: xi, 193 p.
• 大きさ: 26 cm
• 分類:
  • LCC : QA613.62
  • DC20 : 514.72
  • NDC8 : 415.7
• 件名:
  • LCSH : Foliations (Mathematics)
• 親書誌ID:
  • BA00080309