On quasiconformally flat surfaces in Riemannian manifolds

V. M. Miklyukov

Izvestiya. Mathematics , Tome 67 (2003) no. 5, pp. 931-953.

Résumé

We establish two properties of $K$-quasiconformally flat hypersurfaces in general Riemannian manifolds. The first is stated in isoperimetric terms and the second in terms of the main frequency of sections of the manifold by geodesic spheres. The two conditions coincide in the two-dimensional case.

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