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Small eigenvalues of surfaces of finite type

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Ballmann, W., Matthiesen, H. and Mondal, S. ORCID: https://orcid.org/0000-0002-2236-971X (2017) Small eigenvalues of surfaces of finite type. Compositio Mathematica, 153 (8). pp. 1747-1768. ISSN 1570-5846 doi: 10.1112/S0010437X17007291

Abstract/Summary

Extending our previous work on eigenvalues of closed surfaces and work of Otal and Rosas, we show that a complete Riemannian surface S of finite type and Euler characteristic χ(S)<0 has at most −χ(S) small eigenvalues.

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Item Type Article
URI https://centaur.reading.ac.uk/id/eprint/122348
Identification Number/DOI 10.1112/S0010437X17007291
Refereed Yes
Divisions Science > School of Mathematical, Physical and Computational Sciences > Department of Mathematics and Statistics
Publisher Cambridge University Press
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