We use the time real analyticity of Ricci flow proved by Kotschwar to extend
a result in ~\cite{B}, namely, we prove that the Laplace spectra of negatively
curved compact surfaces having same genus γ≥2, same area and same
curvature bounds vary in a "controlled way", of which we give a quantitative
estimate (Theorem 1.1 below). We also observe how said real analyticity can
lead to unexpected conclusions about spectral properties of generic metrics on
a compact surface of genus γ≥2 (Proposition 1.5 below).Comment: 7 pages, comments welcome