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Small eigenvalues of closed surfaces

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Ballmann, W., Matthiesen, H. and Mondal, S. ORCID: https://orcid.org/0000-0002-2236-971X (2016) Small eigenvalues of closed surfaces. Journal of Differential Geometry, 103 (1). pp. 1-13. ISSN 1945-743X

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To link to this item DOI: 10.4310/jdg/1460463561

Abstract/Summary

Generalizing recent work of Otal and Rosas, we show that the Laplacian of a Riemannian metric on a closed surface S with Euler characteristic χ(S)<0 has at most −χ(S) small eigenvalues.

Item Type:Article
Refereed:Yes
Divisions:Science > School of Mathematical, Physical and Computational Sciences > Department of Mathematics and Statistics
ID Code:122336
Publisher:Project Euclid
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