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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Remark about the spectrum of the $p$-form Laplacian under a collapse with curvature bounded below


Author: John Lott
Journal: Proc. Amer. Math. Soc. 132 (2004), 911-918
MSC (2000): Primary 58G25; Secondary 53C23
Published electronically: September 18, 2003
MathSciNet review: 2019973
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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.


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Additional Information

John Lott
Affiliation: Department of Mathematics, University of Michigan, Ann Arbor, Michigan 48109-1109
Email: lott@umich.edu

DOI: http://dx.doi.org/10.1090/S0002-9939-03-07121-1
PII: S 0002-9939(03)07121-1
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
Article copyright: © Copyright 2003 American Mathematical Society