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- W1968265786 abstract "We show that, the solutions of the isoperimetric problem for small volumes are $C^{2,alpha}$-close to small spheres. On the way, we define a class of submanifolds called pseudo balls, defined by an equation weaker than constancy of mean curvature. We show that in a neighborhood of each point of a compact riemannian manifold, there is a unique family concentric pseudo balls which contains all the pseudo balls $C^{2,alpha}$-close to small spheres. This allows us to reduce the isoperimetric problem for small volumes to a variational problem in finite dimension." @default.
- W1968265786 created "2016-06-24" @default.
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- W1968265786 date "2009-01-08" @default.
- W1968265786 modified "2023-10-13" @default.
- W1968265786 title "The isoperimetric profile of a smooth Riemannian manifold for small volumes" @default.
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- W1968265786 doi "https://doi.org/10.1007/s10455-008-9152-6" @default.
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