https://neckpinch.com/authors/mayukh-mukherjee/New arXiv papers by Mayukh Mukherjee, from Neckpinch Tue, 10 Nov 2026 04:10:28 GMT https://neckpinch.com/papers/1601.07469/arxiv:1601.07469Wed, 27 Jan 2016 00:00:00 GMTMayukh Mukherjee — We use the time real analyticity of Ricci flow proved by Kotschwar to extend a result in , 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).Ricci flowEigenvalues & spectrum