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On the Regularity of the Composition of Diffeomorphisms
H. Inci and T. Kappeler, University of Zurich, Switzerland, and P. Topalov, Northeastern University, Boston, MA

Memoirs of the American Mathematical Society
2013; 60 pp; softcover
Volume: 226
ISBN-10: 0-8218-8741-6
ISBN-13: 978-0-8218-8741-7
List Price: US$62
Individual Members: US$37.20
Institutional Members: US$49.60
Order Code: MEMO/226/1062
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For \(M\) a closed manifold or the Euclidean space \(\mathbb{R}^n\), the authors present a detailed proof of regularity properties of the composition of \(H^s\)-regular diffeomorphisms of \(M\) for \(s > \frac{1}{2}\dim M+1\).

Table of Contents

  • Introduction
  • Groups of diffeomorphisms on \(\mathbb{R}^n\)
  • Diffeomorphisms of a closed manifold
  • Differentiable structure of \(H^s(M,N)\)
  • Appendix A
  • Appendix B
  • Bibliography
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