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Proceedings of the American Mathematical Society

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

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Accessible domains in the Heisenberg group
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by Zoltán M. Balogh and Roberto Monti PDF
Proc. Amer. Math. Soc. 132 (2004), 97-106 Request permission

Abstract:

We study the problem of accessibility of boundary points for domains in the sub–Riemannian setting of the first Heisenberg group. A sufficient condition for accessibility is given. It is a Dini–type continuity condition for the horizontal gradient of the defining function. The sharpness of this condition is shown by examples.
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Additional Information
  • Zoltán M. Balogh
  • Affiliation: Mathematisches Institut, Universität Bern, Sidlerstrasse 5, CH-3012, Bern, Switzerland
  • Email: zoltan.balogh@math-stat.unibe.ch
  • Roberto Monti
  • Affiliation: Mathematisches Institut, Universität Bern, Sidlerstrasse 5, CH-3012, Bern, Switzerland
  • Email: roberto.monti@math-stat.unibe.ch
  • Received by editor(s): August 8, 2002
  • Published electronically: March 25, 2003
  • Communicated by: Juha M. Heinonen
  • © Copyright 2003 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 132 (2004), 97-106
  • MSC (2000): Primary 43A80, 22E30
  • DOI: https://doi.org/10.1090/S0002-9939-03-06978-8
  • MathSciNet review: 2021252