Abstract
Generalizing recent work of Otal and Rosas, we show that the Laplacian of a Riemannian metric on a closed surface $S$ with Euler characteristic $\chi(S) \lt 0$ has at most $-\chi(S)$ small eigenvalues.
Citation
Werner Ballmann. Henrik Matthiesen. Sugata Mondal. "Small eigenvalues of closed surfaces." J. Differential Geom. 103 (1) 1 - 13, May 2016. https://doi.org/10.4310/jdg/1460463561
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