Small eigenvalues of surfaces
classification
🧮 math.DG
keywords
eigenvaluessmallcharacteristicclosedeulerlaplacianmetricriemannian
read the original abstract
We show that the Laplacian of a Riemannian metric on a closed surface S with Euler characteristic \chi(S) < 0 has at most -\chi(S) small eigenvalues.
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