Affine flows on 3-manifolds

著者

• 松元, 重則 マツモト, シゲノリ

書誌事項

Affine flows on 3-manifolds

Shigenori Matsumoto

（Memoirs of the American Mathematical Society, no. 771）

American Mathematical Society, 2003

注記

Includes bibliographical references (p. 93-94)

"March 2003, volume 162, number 771 (third of 5 numbers)"

内容説明・目次

内容説明

In this paper, we consider nonsingular flows on closed 3-manifolds which are transversely modeled on the real affine geometry of the plane. We obtain classification results for the following three types of flows: Flows whose developing maps are $\mathbb{R}$-bundle maps over $\mathbb{R}^2$; Flows whose holonomy groups are contained in $SL(2,\mathbb{R}$; and Flows with homotopy lifting property whose holonomy groups are contained in $SL(2,\mathbb{R})\ltimes \mathbb{R}$.

目次

Introduction Complete affine flows Luxuriant foliations SL-flows SA-flows Bibliography.

「Nielsen BookData」 より

• NII書誌ID(NCID): BA61491635
• ISBN:
  • 0821832573
• LCCN: 2002038387
• 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
• 出版地: Providence, R.I.
• ページ数/冊数: vi, 94 p.
• 大きさ: 26 cm
• 分類:
  • DC21 : 514'.72
• 件名:
  • LCSH : Vector fields
  • LCSH : Foliations (Mathematics)
• 親書誌ID:
  • BA00035927