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In this paper we consider a domain in a space of negative constant sectionalcurvature. Such assumption about the sectional curvature let us develop a newtechnique and improve existing lower bounds of eigenvalues from Dirichleteigenvalue problem, obtained by Alessandro Savo in 2009.

Lower Bounds For The First Eigenvalue Of The Laplacian With Dirichlet Boundary Conditions In A Hyperbolic Space Of A Negative Constant Curvature