Skip to Main Content

Transactions of the American Mathematical Society

Published by the American Mathematical Society, the Transactions of the American Mathematical Society (TRAN) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.43.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

Leaf prescriptions for closed $3$-manifolds
HTML articles powered by AMS MathViewer

by John Cantwell and Lawrence Conlon PDF
Trans. Amer. Math. Soc. 236 (1978), 239-261 Request permission

Abstract:

Our basic question is: What open, orientable surfaces of finite type occur as leaves with polynomial growth in what closed 3-manifolds? This question is motivated by other work of the authors. It is proven that every such surface so occurs for suitable ${C^\infty }$ foliations of suitable closed 3-manifolds and for suitable ${C^1}$ foliations of all closed 3-manifolds. If the surface has no isolated nonplanar ends it also occurs for suitable ${C^\infty }$ foliations of all closed 3-manifolds. Finally, a large class of surfaces with isolated nonplanar ends occurs in suitable ${C^\infty }$ foliations of all closed, orientable 3-manifolds that are not rational homology spheres.
References
Similar Articles
  • Retrieve articles in Transactions of the American Mathematical Society with MSC: 57D30
  • Retrieve articles in all journals with MSC: 57D30
Additional Information
  • © Copyright 1978 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 236 (1978), 239-261
  • MSC: Primary 57D30
  • DOI: https://doi.org/10.1090/S0002-9947-1978-0645738-9
  • MathSciNet review: 0645738