Sharp local isoperimetric inequalities involving the scalar curvature

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The isoperimetric profile of a smooth Riemannian manifold for small volumes (2007, methodology): “O. Druet [ 5 ] provides an alternative approach to Theorems 3 and 4. But our method gives more information.”
Constant mean curvature spheres in Riemannian manifolds (2009, background): “In this case it is known that the solutions of the isoperimetric problem are close to geodesic spheres with small radius [10], [2] and Druet [3] has shown that in fact the solutions of the isoperimetric”
On the 1/H-flow by p-Laplace approximation: New estimates via fake distances under Ricci lower bounds (2019, methodology): “A different way of using p-Laplace type equations to investigate the isoperimetric properties of Riemannian manifolds can also be found in [24].”
Extremal domains for the first eigenvalue of the Laplace-Beltrami operator (2009, background): “Druet [1] has proved that for small volumes (i.”