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