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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles 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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Remark about the spectrum of the $p$-form Laplacian under a collapse with curvature bounded below
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by John Lott PDF
Proc. Amer. Math. Soc. 132 (2004), 911-918 Request permission

Abstract:

We give a lower bound on the number of small positive eigenvalues of the $p$-form Laplacian in a certain type of collapse with curvature bounded below.
References
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Additional Information
  • John Lott
  • Affiliation: Department of Mathematics, University of Michigan, Ann Arbor, Michigan 48109-1109
  • MR Author ID: 116090
  • ORCID: 0000-0002-5107-8719
  • Email: lott@umich.edu
  • Received by editor(s): September 19, 2002
  • Received by editor(s) in revised form: November 3, 2002
  • Published electronically: September 18, 2003
  • Additional Notes: Research supported by NSF grant DMS-0072154
  • Communicated by: Jozef Dodziuk
  • © Copyright 2003 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 132 (2004), 911-918
  • MSC (2000): Primary 58G25; Secondary 53C23
  • DOI: https://doi.org/10.1090/S0002-9939-03-07121-1
  • MathSciNet review: 2019973