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math.DG2023★ 1 cited
Double Forms, Curvature Integrals and the Gauss-Bonnet Formula
Marc Troyanov
The Gauss-Bonnet Formula is a significant achievement in 19th century differential geometry for the case of surfaces and the 20th century cumulative work of H. Hopf, W. Fenchel, C.…
math.GR2023
Isoperimetry in Finitely Generated Groups
Bruno Luiz Santos Correia, Marc Troyanov
We revisit the isoperimetric inequalities for finitely generated groups introduced and studied by N. Varopoulos, T. Coulhon and L. Saloff-Coste. Namely we show that a lower bound o…