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.

 

Diffeomorphisms and volume-preserving embeddings of noncompact manifolds
HTML articles powered by AMS MathViewer

by R. E. Greene and K. Shiohama PDF
Trans. Amer. Math. Soc. 255 (1979), 403-414 Request permission

Abstract:

The theorem of J. Moser that any two volume elements of equal total volume on a compact manifold are diffeomorphism-equivalent is extended to noncompact manifolds: A necessary and sufficient condition (equal total and same end behavior) is given for diffeomorphism equivalence of two volume forms on a noncompact manifold. Results on the existence of embeddings and immersions with the property of inducing a given volume form are also given. Generalizations to nonorientable manifolds and manifolds with boundary are discussed.
References
Similar Articles
  • Retrieve articles in Transactions of the American Mathematical Society with MSC: 58D10, 53C42
  • Retrieve articles in all journals with MSC: 58D10, 53C42
Additional Information
  • © Copyright 1979 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 255 (1979), 403-414
  • MSC: Primary 58D10; Secondary 53C42
  • DOI: https://doi.org/10.1090/S0002-9947-1979-0542888-3
  • MathSciNet review: 542888